Question 1

Find the function value.
- f(x) =(x+9) 2f(x) =(x+9) ^{2}f(x) =(x+9) 2 , find  f(3) f(3) f(3)

Accepted Answer

A)   -144
B)   36
C)   24
D)   144

Question 2

Find the  xxx -intercepts.
- y=x2+10y=x^{2}+10y=x2+10

Accepted Answer

A)    (0,10) (0,10) (0,10)  
B)    (10,10) (10,10) (10,10)  
C)   no  x\mathrm{x}x  - intercepts
D)    (10,0) (10,0) (10,0)

Question 3

Graph the quadratic equation.
- y=−x2+5y=-x^{2}+5y=−x2+5

Accepted Answer

A)  
B)  
C)  
D)

Question 4

Find the  xxx -intercepts.
- y=x2+3x+5y=x^{2}+3 x+5y=x2+3x+5

Accepted Answer

A)    (0,−3) (0,-3) (0,−3)  
B)    (−3,0) (-3,0) (−3,0)  
C)    (1.67,0) (1.67,0) (1.67,0)  
D)   No  xxx  - intercepts

Question 5

Solve the equation. Express radicals in simplest form.
- (3x+2) 2=6(3 \mathrm{x}+2) ^{2}=6(3x+2) 2=6

Accepted Answer

A)    −2±63\frac{-2 \pm \sqrt{6}}{3}3−2±6c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
B)    6±23\frac{\sqrt{6} \pm 2}{3}36c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​±2​ 
C)    2±63\frac{2 \pm \sqrt{6}}{3}32±6c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
D)    −83,43-\frac{8}{3}, \frac{4}{3}−38​,34​

Question 6

Solve the problem.
-Tom Quig traveled 230 miles east of St. Louis. For most of the trip he averaged  60mph60 \mathrm{mph}60mph , but for one period of time he was slowed to  10mph10 \mathrm{mph}10mph  due to a major aocident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed?

Accepted Answer

A)   50 miles
B)   70 miles
C)   45 miles
D)   60 miles

Question 7

Solve the equation.
- 5y+2−7y−2=8y2−4\frac{5}{y+2}-\frac{7}{y-2}=\frac{8}{y^{2}-4}y+25​−y−27​=y2−48​

Accepted Answer

A)   -16
B)   32
C)   16
D)    31\sqrt{31}31c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​

Question 8

Solve the equation. Express radicals in simplest form.
- 12x2−132=012 x^{2}-132=012x2−132=0

Accepted Answer

A)   ± 11
B)    ±11\pm \sqrt{11}±11c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
C)   11
D)   12

Question 9

Find the ordered pair for the vertex.
- y=−2x2−16x−29y=-2 x^{2}-16 x-29y=−2x2−16x−29

Accepted Answer

A)    (−4,3) (-4,3) (−4,3)  
B)    (4,−3) (4,-3) (4,−3)  
C)    (3,−4) (3,-4) (3,−4)  
D)    (−3,4) (-3,4) (−3,4)

Question 10

Without graphing explain the differences between the graphs of $y=x^{2}, y=x^{2}-2$, $y=x^{2}+2, y=(x-2)^{2}$, and $y=(x+2)^{2}$.

Accepted Answer

All graphs are the same shape. The graph...

Question 11

Solve the equation.
- 2x2−16x+30=02 x^{2}-16 x+30=02x2−16x+30=0

Accepted Answer

A)   3,5
B)    0,3,50,3,50,3,5 
C)    −3,−5-3,-5−3,−5 
D)   2, 3, 5

Question 12

Solve the equation by completing the square.
- 9x2+2x−7=09 x^{2}+2 x-7=09x2+2x−7=0

Accepted Answer

A)    79,−1\frac{7}{9},-197​,−1 
B)    97,−1\frac{9}{7},-179​,−1 
C)    97,0\frac{9}{7}, 079​,0 
D)    97,1\frac{9}{7}, 179​,1

Question 13

Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula.
- x2x+3−6x+3=0\frac{\mathrm{x}^{2}}{\mathrm{x}+3}-\frac{6}{\mathrm{x}+3}=0x+3x2​−x+36​=0

Accepted Answer

A)    −3,6-3, \sqrt{6}−3,6c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
B)    −6,6-\sqrt{6}, \sqrt{6}−6c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​,6c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
C)    6\sqrt{6}6c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
D)    −3,−6,6-3,-\sqrt{6}, \sqrt{6}−3,−6c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​,6c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​

Question 14

Write standard form and identify  a,ba, ba,b , and  ccc .
- 5x2=4x−45 x^{2}=4 x-45x2=4x−4

Accepted Answer

A)    5x2−4x=−4;a=5,b=−4,c=−45 x^{2}-4 x=-4 ; a=5, b=-4, c=-45x2−4x=−4;a=5,b=−4,c=−4 
B)    5x2+4x+4=0;a=5,b=−4,c=−45 x^{2}+4 x+4=0 ; a=5, b=-4, c=-45x2+4x+4=0;a=5,b=−4,c=−4 
C)    5x2+4x−4=0;a=5,b=4,c=−45 x^{2}+4 x-4=0 ; a=5, b=4, c=-45x2+4x−4=0;a=5,b=4,c=−4 
D)    5x2−4x+4=0;a=5,b=−4,c=45 x^{2}-4 x+4=0 ; a=5, b=-4, c=45x2−4x+4=0;a=5,b=−4,c=4

Question 15

Graph the function.
- f(x) =13xf(x) =\frac{1}{3} xf(x) =31​x

Accepted Answer

A)  
B)   
C)  
D)

Question 16

Graph the quadratic equation.
- y=−3−4x−x2y=-3-4 x-x^{2}y=−3−4x−x2

Accepted Answer

A)  
B)  
C)  
D)

Question 17

Solve the problem.
-A ladder is resting against a wall. The top of the ladder touches the wall at a height of  15ft15 \mathrm{ft}15ft . Find the length of the ladder if the length is  5ft5 \mathrm{ft}5ft  more than its distance from the wall.

Accepted Answer

A)    25ft25 \mathrm{ft}25ft 
B)    30ft30 \mathrm{ft}30ft 
C)    20ft20 \mathrm{ft}20ft 
D)    15ft15 \mathrm{ft}15ft

Question 18

Solve for the indicated letter.
-Solve the formula  S=13πr2h+4πrhS=\frac{1}{3} \pi r^{2} h+4 \pi r hS=31​πr2h+4πrh  for  rrr .

Accepted Answer

A)    r=12πh±36π2h2+3πhSπhr=\frac{12 \pi h \pm \sqrt{36 \pi^{2} h^{2}+3 \pi h S}}{\pi h}r=πh12πh±36π2h2+3πhSc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
B)    r=−6πh±36π2h2+3πhSπhr=\frac{-6 \pi h \pm \sqrt{36 \pi^{2} h^{2}+3 \pi h S}}{\pi h}r=πh−6πh±36π2h2+3πhSc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
C)    r=−6πh±236π2h2+3πhSπhr=\frac{-6 \pi h \pm 2 \sqrt{36 \pi^{2} h^{2}+3 \pi h S}}{\pi h}r=πh−6πh±236π2h2+3πhSc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
D)    r=−12πh±36π2 h2+3πhS2πhr=\frac{-12 \pi \mathrm{h} \pm \sqrt{36 \pi^{2} \mathrm{~h}^{2}+3 \pi \mathrm{hS}}}{2 \pi \mathrm{h}}r=2πh−12πh±36π2 h2+3πhSc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​

Question 19

Graph the function.
- f(x) =12x−3f(x) =\frac{1}{2} x-3f(x) =21​x−3

Accepted Answer

A)  
B)   
C)  
D)

Question 20

Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula.
- 2x2−16x+30=02 x^{2}-16 x+30=02x2−16x+30=0

Accepted Answer

A)    0,3,50,3,50,3,5 
B)   2, 3, 5
C)    −3,−5-3,-5−3,−5 
D)   3,5

Exam 9: Quadratic Equations

Solve the equation by completing the square. - 9x2+2x−7=09 x^{2}+2 x-7=09x2+2x−7=0

Correct AnswerverifiedShow Answer

Write standard form and identify a,ba, ba,b , and ccc . - 5x2=4x−45 x^{2}=4 x-45x2=4x−4

Correct AnswerverifiedShow Answer

Graph the function. - f(x) =12x−3f(x) =\frac{1}{2} x-3f(x) =21​x−3

Correct AnswerverifiedShow Answer

Solve the equation. Express radicals in simplest form. - (3x+2) 2=6(3 \mathrm{x}+2) ^{2}=6(3x+2) 2=6

Correct AnswerverifiedShow Answer

Solve the equation. - 2x2−16x+30=02 x^{2}-16 x+30=02x2−16x+30=0

Correct AnswerverifiedShow Answer

Without graphing explain the differences between the graphs of y=x2,y=x2−2y=x^{2}, y=x^{2}-2y=x2,y=x2−2 , y=x2+2,y=(x−2)2y=x^{2}+2, y=(x-2)^{2}y=x2+2,y=(x−2)2 , and y=(x+2)2y=(x+2)^{2}y=(x+2)2 .

Correct AnswerverifiedAll graphs are the same shape. The graph...View AnswerShow Answer

Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula. - x2x+3−6x+3=0\frac{\mathrm{x}^{2}}{\mathrm{x}+3}-\frac{6}{\mathrm{x}+3}=0x+3x2​−x+36​=0

Correct AnswerverifiedShow Answer

Find the xxx -intercepts. - y=x2+10y=x^{2}+10y=x2+10

Correct AnswerverifiedShow Answer

Find the xxx -intercepts. - y=x2+3x+5y=x^{2}+3 x+5y=x2+3x+5

Correct AnswerverifiedShow Answer

Graph the quadratic equation. - y=−3−4x−x2y=-3-4 x-x^{2}y=−3−4x−x2

Correct AnswerverifiedShow Answer

Solve for the indicated letter. -Solve the formula S=13πr2h+4πrhS=\frac{1}{3} \pi r^{2} h+4 \pi r hS=31​πr2h+4πrh for rrr .

Correct AnswerverifiedShow Answer

Graph the quadratic equation. - y=−x2+5y=-x^{2}+5y=−x2+5

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Graph the function. - f(x) =13xf(x) =\frac{1}{3} xf(x) =31​x

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Solve the equation. - 5y+2−7y−2=8y2−4\frac{5}{y+2}-\frac{7}{y-2}=\frac{8}{y^{2}-4}y+25​−y−27​=y2−48​

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Find the function value. - f(x) =(x+9) 2f(x) =(x+9) ^{2}f(x) =(x+9) 2 , find f(3) f(3) f(3)

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Solve the problem. -A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15ft15 \mathrm{ft}15ft . Find the length of the ladder if the length is 5ft5 \mathrm{ft}5ft more than its distance from the wall.

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Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula. - 2x2−16x+30=02 x^{2}-16 x+30=02x2−16x+30=0

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Solve the equation. Express radicals in simplest form. - 12x2−132=012 x^{2}-132=012x2−132=0

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Find the ordered pair for the vertex. - y=−2x2−16x−29y=-2 x^{2}-16 x-29y=−2x2−16x−29

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Solve the equation by completing the square. - $9 x^{2}+2 x-7=0$

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Write standard form and identify $a, b$ , and $c$ . - $5 x^{2}=4 x-4$

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Graph the function. - $f(x) =\frac{1}{2} x-3$ $Graph the function. - f(x) =\frac{1}{2} x-3 A) B) C) D)$

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Solve the equation. Express radicals in simplest form. - $(3 \mathrm{x}+2) ^{2}=6$

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Solve the equation. - $2 x^{2}-16 x+30=0$

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Without graphing explain the differences between the graphs of $y=x^{2}, y=x^{2}-2$ , $y=x^{2}+2, y=(x-2)^{2}$ , and $y=(x+2)^{2}$ .

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All graphs are the same shape. The graph...
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Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula. - $\frac{\mathrm{x}^{2}}{\mathrm{x}+3}-\frac{6}{\mathrm{x}+3}=0$

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Find the $x$ -intercepts. - $y=x^{2}+10$

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Find the $x$ -intercepts. - $y=x^{2}+3 x+5$

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Graph the quadratic equation. - $y=-3-4 x-x^{2}$ $Graph the quadratic equation. - y=-3-4 x-x^{2} A) B) C) D)$

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Solve for the indicated letter. -Solve the formula $S=\frac{1}{3} \pi r^{2} h+4 \pi r h$ for $r$ .

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Graph the quadratic equation. - $y=-x^{2}+5$ $Graph the quadratic equation. - y=-x^{2}+5 A) B) C) D)$

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Graph the function. - $f(x) =\frac{1}{3} x$ $Graph the function. - f(x) =\frac{1}{3} x A) B) C) D)$

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Solve the equation. - $\frac{5}{y+2}-\frac{7}{y-2}=\frac{8}{y^{2}-4}$

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Find the function value. - $f(x) =(x+9) ^{2}$ , find $f(3)$

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Solve the problem. -A ladder is resting against a wall. The top of the ladder touches the wall at a height of $15 \mathrm{ft}$ . Find the length of the ladder if the length is $5 \mathrm{ft}$ more than its distance from the wall.

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Solve. Try factoring first. If factoring is not possible or is difficult, use the quadratic formula. - $2 x^{2}-16 x+30=0$

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Solve the equation. Express radicals in simplest form. - $12 x^{2}-132=0$

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Find the ordered pair for the vertex. - $y=-2 x^{2}-16 x-29$

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