Free Printable Quadratics Test Review

1.

Sort the following quadratics based on what form they are written.

Categorize the following

y = (x -5)²+ 1

y = 3(x + 2)² - 3

(x + 6)(x - 9)

-2(x - 1)(x - 2)

4x² - 7x - 10

x² + 4x - 12

Vertex Form

Factored Form

Standard Form

2.

Match each form of a quadratic with what we use it to find.

a)

y = 2(x - 3)² + 2

1.

Vertex

b)

y = 2x² -12x + 20

2.

Y-intercept

c)

y = 3(x + 3)(x - 2)

3.

Zeros or X-intercepts

3.

Match each form of a quadratic with what we use it to find.

a)

y = 2(x - 3)² + 2

1.

Vertex at (3,2)

b)

y = 2x² -12x + 20

2.

Y-intercept at (0,20)

c)

y = 3(x + 3)(x - 2)

3.

Zeros at (-3,0) and (2,0)

4.

Match the equation with the characteristic you find in it.

a)

y = x² + 8x + 15

1.

y-intercept at (0,15)

b)

y = (x - 10)(x + 2)

2.

Zeros at (10,0) and (-2,0)

c)

y = (x - 5)² - 1

3.

Vertex at (5,-1)

d)

y = (x + 8)(x - 4)

4.

Zeros at (-8,0) and (4,0)

e)

y = (x + 7)² - 4

5.

Vertex at (-7,-4)

5.

g(x) = - (x + 4)² - 3 is a transformation of f(x) = x² . Choose each transformation that was done.

a)

Stretch

b)

Reflection over x-axis

c)

Horizontal Shift of 4 units left

d)

Vertical Shift of 3 units down

e)

Vertical Shift of 4 units up

6.

g(x) = 3(x - 4)² - 4 is a transformation of f(x) = x² . Choose each transformation that was done.

a)

Stretch

b)

Shrink

c)

Horizontal Shift of 4 units left

d)

Horizontal Shift of 4 units right

e)

Vertical Shift of 4 units down

7.

g(x) is a transformation of f(x). The vertex of f(x) is (4,5) and the vertex of g(x) is (0,7). Name each transformation that was done.

a)

Horizontal Shift of 4 units right

b)

Horizontal Shift of 4 units left

c)

Vertical Shift of 2 units down

d)

Vertical Shift of 2 units up

8.

y = - a (b)^{x - h} + k

a)

-

1.

Reflection over x-axis

b)

a

2.

Stretch or Shrink

c)

h

3.

Horizontal Shift left or right

d)

k

4.

Vertical Shift up or down

9.

What is the average rate of change between x = 0 and x = 4?

x 0 1 2 3 4

y -3 0 3 9 27

a)

$\frac{27}{4}$

b)

$\frac{24}{4}$ = 6

c)

$\frac{30}{4}$

10.

Label how each number transforms the function

a)Left 3

b)Moves up 7

c)Reflected over the x-axis

d)Stretched by a factor of 2

e)Right 3

1

2

3

4

1)

2)

3)

4)

11.

Identify the possible function that matches each specific transformation listed from the parent function $f\left(x\right)=x^2$

a)

$f\left(x\right)=-x^2+36$

b)

$f\left(x\right)=2x^2$

c)

$f\left(x\right)=\left(x+2\right)^2$

d)

$f\left(x\right)=-\left(x-7\right)^2$

e)

$f\left(x\right)=\left(x+1\right)^2+5$

f)

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

g)

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

h)

$f\left(x\right)=-\frac{1}{2}x^2$

1

2

3

4

1)

2)

3)

4)

12.

$The\ parent\ function\ f\left(x\right)\ =\ x^2$ has translated by opening (a) and moving (b) and to the (c)

the final equation would look like (d)

Choose from the below words

up 3

down 3

right 1

left 1

downward

upward

$f\ =\ -\left(x-1\right)^2\ +3$

13.

If the blue graph is
f(x) = x²
then the red must be...

Quadratics Test Review

Total questions: 13

Worksheet time: 17mins

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