Free Printable Quadratic Functions (Unit 8 Review)

1.

Find the zeros of the polynomial function

f\left(x\right)=x\left(x-1\right)\left(x+5\right)

.

a)

$1,-5$

b)

$0,\ -1,\ 5$

c)

$0,\ 1,\ -5$

d)

$-1,\ 5$

2.

Which function represents the graph?

a)

$f\left(x\right)=-\frac{7}{6}\left(x+3\right)\left(x+1\right)\left(x-2\right)$

b)

$f\left(x\right)=-\frac{7}{6}\left(x-3\right)\left(x-1\right)\left(x+2\right)$

c)

$f\left(x\right)=-\frac{7}{6}\left(x+3\right)\left(x-2\right)$

d)

$f\left(x\right)=\frac{7}{6}\left(x+3\right)\left(x+1\right)\left(x-2\right)$

3.

The area of a rectangle is 96 square kilometers. Its width is 4 km less than its length. Find its dimensions.

a)

12 km by 8 km

b)

8 km by 4 km

c)

16 km by 6 km

d)

24 km by 4 km

4.

Find three consecutive positive integers such that the product of the first and the last is 29 more than the second.

a)

12, 13, 14

b)

2, 3, 4

c)

8, 9, 10

d)

5, 6, 7

5.

What are the solutions of the quadratic equation

x^2+12x+32=0

a)

$x=16,\ 2$

b)

$x=-8,-4$

c)

$x=10,\ 2$

d)

$x=0$

6.

Solve

x^2-5x+7=2x+1

a)

$x=1,\ 6$

b)

$x=-1,\ 5$

c)

$x=6,\ 5$

d)

$x=-1,\ 1$

7.

Consider the two functions graphed. What are the solutions to the system of equations shown on the graph?

a)

$\left(-1,\ 3\right)\ and\ \left(1,\ 0\right)$

b)

$\left(-3,\ 4\right)\ and\ \left(1,\ 0\right)$

c)

$\left(1,\ -3\right)$

d)

$\left(0,\ -2\right)\ and\ \left(0,\ 1\right)$

8.

If the zeros of a quadratic function are 5 and -3, which function could be the factored form of the function?

a)

$f\left(x\right)=x\left(x-5\right)\left(x+3\right)$

b)

$f\left(x\right)=\left(x-5\right)\left(x+3\right)$

c)

$f\left(x\right)=5x\left(x-3\right)$

d)

$f\left(x\right)=\left(x+5\right)\left(x-3\right)$

9.

What are the zeros of the quadratic function

y=2x^2+3x-5

?

a)

$\left\{-\frac{5}{2},\ \ 1\right\}$

b)

$\left\{0,\ 4\right\}$

c)

$\left\{2,\ -5\right\}$

d)

$\left\{\frac{1}{2},\ 0\right\}$

10.

A rocket is fired upwards with an initial speed of 40 feet per second. Its height, h, above the
ground in feet can be modeled using the equation: $h\left(t\right)=-16t^2+38t+5$
where t is the time since launch in seconds. At what time, does the rocket hit the ground?

a)

2.5 seconds

b)

1.5 seconds

c)

4 seconds

d)

1 second

11.

What are the zeros of the function graphed below?

a)

$\left\{1,-4\right\}$

b)

$\left\{0,\ -2\right\}$

c)

$\left\{1,\ -3\right\}$

d)

$\left\{-1,\ 2\right\}$

12.

Which of the following represents the equation of the axis of symmetry of the parabola $y=2x^2-6x+1$ ?

a)

$x=3$

b)

$x=\frac{3}{4}$

c)

$x=\frac{1}{2}$

d)

$x=-\frac{3}{2}$

13.

$h\left(t\right)=-16t^2+48t+10$

The height of a batted baseball is modeled by the equation above, where t is measured in seconds and h is measured in feet. At what time t (in seconds) does the ball attain its maximum height?

a)

2 seconds

b)

1.5 seconds

c)

3.5 seconds

d)

5 seconds

14.

$h\left(t\right)=-16t^2+48t+10$

The height of a batted baseball is modeled by the equation above, where t is measured in seconds and h is measured in feet. What is the balls maximum height?

a)

50 feet

b)

46 feet

c)

75 feet

d)

10 feet

15.

What is the vertex form of
$y=x^2+12x+40$ ?

a)

$y=\left(x-6\right)^2-5$

b)

$y=\left(x+12\right)^2+40$

c)

$y=\left(x+6\right)^2+40$

d)

$y=\left(x+6\right)^2+4$

16.

What is the range of

y=\left(x-7\right)^2+1

?

a)

$y\le1$

b)

$y\ge1$

c)

$y\le7$

d)

$y\ge3$

17.

Which of the following equations represents the graph shown given that it is a shift of the function $y=x^2$ ?

a)

$y=\left(x+3\right)^2+4$

b)

$y=\left(x+4\right)^2+3$

c)

$y=\left(x-3\right)^2-4$

d)

$y=\left(x-4\right)^2+3$

18.

Determine if the quadratic function below opens up or down and tell whether it has a maximum or a minimum.
$f\left(x\right)=2x^2-4x+1$

a)

Up; Minimum

b)

Up; Maximum

c)

Down: Minimum

d)

Down; Maximum

19.

What is the turning point of the quadratic function $y=-14\left(x-6\right)^2+8$ ?

a)

(-6, 8)

b)

(-14, 8)

c)

(6, 8)

d)

(14, 6)

20.

On what interval is the function increasing?

a)

$x\ge-3$

b)

$x\le-2$

c)

$x\ge-2$

d)

$x\le3$

Quadratic Functions (Unit 8 Review)

Total questions: 20

Worksheet time: 20mins

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