Free Printable Chapter 2- Review

1.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

2.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

3.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

4.

Name the parent function.

a)

linear

b)

quadratic

c)

cube root

d)

cubic

5.

Tell how the function transformed from y =|x|
y = -2|x|

a)

Translated left 2 units

b)

Reflected over x-axis

c)

Stretched vertically and reflected over x-axis

d)

Compressed vertically and reflected over the x-axis

6.

Describe the parent graph transformation

a)

stretch by 1/2, left 1, down 3

b)

stretch by 1/2, right 1, down 3

c)

compression by 1/2, left 1, down 3

d)

compression by 1/2, right 1, down 3

7.

How is this function transformed from the parent function?

a)

Translated left and up

b)

Translated right and up

c)

Translated left and down

d)

Translated right and down

8.

Which of the following represents the graph below?

a)

b)

c)

d)

9.

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

10.

Which graph corresponds to
(x)²+ (y-6)²=9

a)

A

b)

B

c)

C

d)

D

11.

What is the coordinates of the centre and the radius of the circle with equation:
(x - 5)² + (y + 3)² = 36 ?

a)

Centre (5,-3)
Radius = 6 units

b)

Centre (-5,3)
Radius = 6 units

c)

Centre (-5,3)
Radius = 36 units

d)

Centre (5,-3)
Radius = 36 units

12.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

13.

Convert the equation y= x²-2x-5 into vertex form.

a)

y= (x-1)²-6

b)

y= -(x-1)²-6

c)

y= (x+1)²-6

d)

y= -(x+6)²-1

14.

Ms.Perez's dog's name?

a)

Nacho

b)

Dementor

c)

Jeff

d)

Coco

e)

She hates animals

15.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

16.

What is the stretch factor?

a)

2

b)

- x²

c)

1/2

d)

1/4

e)

2

17.

What is the equation of the graph?

a)

y = -√(x + 5)

b)

y = √(x) - 2

c)

y = √(x - 3)

d)

y = -√(x) + 3

18.

Which of the following equations represents the graph pictured?

a)

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

b)

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

c)

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

d)

$f\left(x\right)=\frac{x^3}{2}$

19.

a)

y = Ix + 2I - 1

b)

y = -Ix + 2I - 1

c)

y = -Ix - 2I - 1

d)

y = -Ix + 1I - 2

20.

C is the center of the circle shown below. What is the equation of circle C?

a)

b)

c)

d)

21.

Write the equation in slope-intercept form: 2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

22.

What is the y-intercept?
f(x) = -2x² + 4x - 6

a)

(0, 6)

b)

(0, -6)

c)

(6, 0)

d)

(-6, 0)

23.

Which of the following equations is in vertex form?

a)

f(x) = x² + 6x - 2

b)

f(x) = (x - 1)² + 2

24.

Convert the equation y= x²-2x-5 into vertex form.

a)

y= (x-1)²-6

b)

y= -(x-1)²-6

c)

y= (x+1)²-6

d)

y= -(x+6)²-1

25.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

f(x) = (x + 6)² + 34

26.

Convert f(x) = 4x² - 32x + 2 to vertex form.

a)

f(x) = 4(x + 4)² - 62

b)

f(x) = 4(x - 4)² - 62

c)

f(x) = 4(x - 8)² - 62

d)

f(x) = 4(x + 8)² - 62

27.

The name of all the possible inputs of a function:

a)

Domain

b)

Range

28.

The name of all of the possible outputs of a function:

a)

Domain

b)

Range

29.

Name this Function:

a)

Constant

b)

Linear

c)

Simple Rational

d)

Cubic

30.

What is the Domain?

a)

y ≥ 6

b)

$-\infty<x<\infty$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

31.

Describe the transformation(s) in the following function.

$f\left(x\right)=\frac{4}{5}\left|x+5\right|+2$

a)

Vertical stretch by a factor of $\frac{4}{5}$ ,

Shift left 5 units,

Shift down 2 units

b)

Vertical compression by a factor of $\frac{4}{5}$ ,

Shift right 5 units,

Shift up 2 units

c)

Vertical stretch by a factor of $\frac{4}{5}$ ,

Shift right 5 units,

Shift up 2 units

d)

Vertical compression by a factor of $\frac{4}{5}$ ,

Shift left 5 units,

Shift up 2 units

e)

Vertical compression by a factor of $\frac{4}{5}$ ,

Shift left 5 units,

Shift down 2 units

32.

Find the center of a circle with an equation of $x^2-2x+1+y^2+6y+9=16$ Write the center using parenthesis

( , )

(a)

33.

Given the equation, check the all the correct answers that correspond to the equation
$x^2+4x+4+y^2+2y+2\ =36$

a)

radius = 6

b)

radius = 36

c)

standard form of equation: $\left(x+2\right)^{2\ }+\left(y+1\right)^2=36$

d)

standard form of equation: $\left(x+4\right)^2+\left(y+2\right)^2=36$

34.

Find the center and radius given the equation
$\left(x-5\right)^2+\left(y+1\right)^2=25$

a)

center: (5, 1) r = 5

b)

center: (-5, -1) r = 5

c)

center: (-5, 1) r = 5

d)

center: (5, -1) r = 5

35.

Write the equation of the circle with center at the origin (0,0) and a diameter of 10

a)

$x^2+y^2=10$

b)

$x^2+y^2=5$

c)

$x^2+y^2=100$

d)

$x^2+y^2=25$

Chapter 2- Review

Total questions: 35

Worksheet time: 1hrs 11mins

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