Free Printable Vertex Form/Transformations Quiz Review

1.

What is the vertex for
f(x)=4(x-2)² + 3

a)

(-2, 3)

b)

(2,-3)

c)

(4,3)

d)

(2,3)

2.

Does the parabola
f(x)=4(x-2)² + 3
open up or down?

a)

up

b)

down

3.

What is the axis of symmetry for
f(x)=4(x-2)² + 3

a)

4

b)

2

c)

x = -2

d)

x = 2

4.

What is the vertex of the parabola: y=2(x-3)²+4

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

5.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

6.

Given: y = 2(x - 5)² + 6, the vertex is

a)

(2,-5)

b)

(-5,6)

c)

(2,6)

d)

(5,6)

7.

Given the equation for this parabola:

y=-(x-4)²-3,

does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

8.

Which transformation transforms the graph of
f(x) = x² to the graph of
g(x) = (x + 4)²?

a)

a vertical translation 4 units up

b)

a vertical translation 4 units down

c)

a horizontal translation 4 units to the left

d)

a horizontal translation 4 units to the right

9.

How did we transform from f(x) =x²tog(x) = -3x²

a)

reflection in x-axis and vertical shift down

b)

reflection x-axis and vertical stretch

c)

horizontal stretch

d)

reflection x-axis and vertical compression

10.

If the blue graph is

f(x) = x²

then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

11.

In the vertex form f(x) = a(x - h)² + k , what does the 'h' value do?

a)

Shifts the function left or right

b)

Reflection over the x-axis

c)

Vertical stretch or compression

d)

Shifts the function up or down

12.

In the vertex form f(x) = a(x - h)² + k , what does the 'a' value do?

a)

Shifts the function left or right

b)

Changing 'a' value has no affect on the parent function

c)

Vertical stretch or compression

d)

Shifts the function up or down

13.

In the vertex form f(x) = a(x - h)² + k , what does the 'k' value do?

a)

Shifts the function left or right

b)

Reflects over the x-axis

c)

Vertical stretch or compression

d)

Shifts the function up or down

14.

How did we transform from y=x^2?

y = -3x²

a)

vertical reflection and vertical shift down

b)

vertical reflection and vertical stretch

c)

horizontal stretch

d)

vertical reflection and vertical compression

15.

How did we transform from the parent function?
y = x² + 2

a)

horizontal shift up

b)

vertical shift up

c)

horizontal shift down

d)

vertical shift down

16.

Given f(x) = -x² , how did we transform from the parent function?

a)

Horizontal shift left

b)

Reflection over the x-axis

c)

Vertical shift down

d)

Vertical compression

17.

Given f(x) = (x + 3)² , how did we transform from the parent function?

a)

Horizontal shift left 3

b)

Vertical shift up 3

c)

Horizontal shift right 3

d)

Vertical shift down 3

18.

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

a)

Horizontal shift left 6, vertical shift up 2

b)

Horizontal shift left 6, vertical shift down 2

c)

Horizontal shift right 6, vertical shift down 2

d)

Horizontal shift right 6, vertical shift up 2

19.

Given $f\left(x\right)=\frac{1}{4}x²$ how did we transform from the parent function?

a)

Vertical compression (wider)

b)

Vertical stretch (narrower)

c)

Vertical compression (wider) and reflection over x-axis

d)

Vertical stretch (narrower) and reflection over x-axis

20.

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a translation shifting f(x) 4 units up

b)

a translation shifting f(x) 4 units down

c)

a translation shifting f(x) 4 units to the left

d)

a translation shifting f(x) 4 units to the right

21.

Which equation would shift the quadratic function

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

up 3 units and to the right 4 units.

a)

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

b)

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

c)

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

d)

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

22.

Which equation would shift the quadratic function

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

3 units left and 4 units up?

a)

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

b)

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

c)

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

d)

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

23.

Which equation would vertically stretch the quadratic function

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

by a factor of 3 and shift it 4 to the right?

a)

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

b)

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

c)

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

d)

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

24.

Describe the transformation:

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

a)

right 3, down 2

b)

up 3, left 2

c)

left 3, up 2

d)

left 3, down 2

25.

Describe the transformation:

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

a)

right 3

b)

Reflected down, right 3

c)

Reflected down, up 3

d)

Reflected down, left 3

Vertex Form/Transformations Quiz Review

Total questions: 25

Worksheet time: 33mins

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