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Quadratics Extra Credit

Total questions: 11

Worksheet time: 36mins

Name
Class
Date
1.
Solve
 x2 - 10 = 26
a)
x = -6, 6
b)
x = -4, 4
c)
x = 4, 6
d)
No solution
2.
What is the vertex for the parabola represented by the equation
y = 2(x + 3)2 - 8?
a)
(3, 8)
b)
(3, -8)
c)
(-3, 8)
d)
(-3, -8)
3.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
4.

Factor completely: 3x2 - 15x + 18

a)

3(x-2) (x-3)

b)

(3x-6) (x-3)

c)

(3x-9) (x-2)

d)

PRIME

5.

Factor completely: 15m2 -10m - 25

a)

Not Factorable

b)

(3m-5) (5m+5)

c)

5(3m2-2m-5)

d)

5(m+1) (3m-5)

6.
Find the vertex.  y = x2+ 16x + 71
a)
V(-8, 7)
b)
V(-8, 3)
c)
V(8, 10)
d)
V(16, -2)
7.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
8.

Given the equation for this parabola:

y=-(x-4)2-3,

does this parabola have a maximum or minimum value? What is the value?

a)

Maximum, 3

b)

Minimum, 3

c)

Maximum, -3

d)

Minimum, -3

9.

Solve the following quadratic equation: 2x2−5x+2=02x^2-5x+2=0  

a)

 x=−12x=\frac{-1}{2}  & x=−2x=-2  

b)

 x=−1x=-1  & x=−4x=-4  

c)

 x=4x=4  & x=1x=1  

d)

 x=12 & x=2x=\frac{1}{2}\ \&\ x=2  

10.

Mr. Kam throws a football to his cat Lucy. The path of the football can be modeled by the equation y=−x2+8x−12y=-x^2+8x-12  , where x represents time in seconds and y represents the height of the ball in feet. What is the maximum height the ball will reach?

a)

8 feet

b)

14 feet

c)

4 feet

d)

1 foot

11.

Mr. Kam throws a football to his cat Lucy. The path of the football can be modeled by the equation  y=−x2+8x−12y=-x^2+8x-12  

  , where x represents time in seconds and y represents the height of the ball in feet. If Lucy jumps for the ball after 5 seconds, how high will she have to jump to get the ball?

a)

8 feet

b)

3 feet

c)

53 feet

d)

She's a cat, she doesn't care