Free Printable Review of Functions (linear & quadratic)

1.

What is the slope of the equation?
y = -3x + 4

a)

-3

b)

3

c)

4

d)

-4

2.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

3.

Write the equation for the graph shown.

4.

Write an equation for the table shown.

5.

Where is the vertex of $f\left(x\right)=-x^2-3x$ ?

a)

$\left(\frac{3}{2},-\frac{9}{4}\right)$

b)

$\left(-\frac{3}{2},\ \frac{9}{4}\right)$

c)

$\left(-\frac{3}{2},\ -\frac{9}{4}\right)$

d)

$\left(\frac{3}{2},\ \frac{9}{4}\right)$

6.

Find the roots by factoring $y=x^2-3x-18$

a)

3, 6

b)

3, -6

c)

-3, -6

d)

-3, 6

7.

By factoring find the roots of $y=2x^2+x-3$

a)

$1,\ \frac{3}{2}$

b)

$1,\ -\frac{3}{2}$

c)

$-1,\ -\frac{3}{2}$

d)

$-1,\ \frac{3}{2}$

8.

Graph the function $y=-\left(x+3\right)^2+3$

9.

Graph the function $y=2\left(x-1\right)^2-3$

10.

What are the

roots (x-intercepts) of the function

f(x)= (x - 2)(x + 3)?

a)

x = - 2 or x = 3

b)

x = 2 or x = -3

c)

The are no real roots

d)

x = 2 or x = 3

11.

What is the vertex of this function?

a)

(0, -3)

b)

(1, -4)

c)

(-2, 5)

d)

{-1, 3}

12.

If given the equation

y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

13.

Does the following quadratic equation have a maximum or minimum value? How can you tell?

y=x²+2x-3

a)

Minimum value, because the a value is positive

b)

Maximum value, because the b value is positive

c)

Maximum value, because the a value is positive

d)

Minimum value, because the c value is negative

14.

Solve 8x² - 6x + 1 = 0

a)

No Real Solution

b)

0 or 1

c)

$-\frac{1}{2},\ -\frac{1}{4}$

d)

$\frac{1}{2},\ \frac{1}{4}$

15.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

16.

Solve x² - 5x + 10 = 0

a)

$\frac{5-i\sqrt{15}}{2},\ \frac{5+i\sqrt{15}}{2}$

b)

$\frac{-5-i\sqrt{15}}{2},\ \frac{-5+i\sqrt{15}}{2}$

c)

$\frac{5-i\sqrt{65}}{2},\ \frac{5+i\sqrt{65}}{2}$

d)

$\frac{-5-i\sqrt{65}}{2},\ \frac{-5+i\sqrt{65}}{2}$

17.

What do we call the graph of a quadratic function?

a)

parabola

b)

linear

c)

cubic

d)

sinusoidal

18.

If given the equation

y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

19.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

20.

Match the following in the vertex form of the quadratic equation.

$f\left(x\right)=a\left(x-h\right)^2+k$

a)

$f\left(x\right)$

1.

y

b)

a

2.

reflection, vertical stretch, or compression

c)

h

3.

horizontal translation

d)

k

4.

vertical translation

e)

x

5.

x-value

21.

In the function f(x)=2(x+5)²-8, the parabola opens

a)

upward

b)

downward

22.

Identify the vertex and whether the graph opens up or down.

a)

(-1, 4); opens up

b)

(-1, 4); opens down

c)

(1, 4); opens up

d)

(1, 4); opens down

23.

In the equation, y = mx + b, the letter b is the ___________.

a)

y-intercept

b)

x-intercept

c)

slope

d)

rate of change

24.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

25.

Find the slope of the line that passes through
(10, 1) and (5, 2)

(a)

26.

Write an equation in slope-intercept form:

$slope\ =\ -\frac{2}{3}$ $y-intercept\ =\ \left(0,\ -9\right)$

27.

What is the y-intercept?

a)

(0,7)

b)

(0, 0)

c)

(0,1)

d)

(0, 2)

Review of Functions (linear & quadratic)

Total questions: 27

Worksheet time: 51mins

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