Free Printable T2U4 CW4 Parent Functions

1.

Name the parent function.

a)

linear

b)

constant

c)

absolute value

d)

quadratic

2.

Name the parent function.

a)

linear

b)

quadratic

c)

cube root

d)

cubic

3.

Name the parent function.

a)

linear

b)

quadratic

c)

absolute value

d)

cubic

4.

Name the parent function.

a)

cube root

b)

quadratic

c)

cubic

d)

square root

5.

Name the parent function.

a)

cube root

b)

square root

c)

cubic

d)

squiggly

6.

Name the parent function.

a)

linear

b)

quadratic

c)

cubic

d)

logarithmic

7.

Name the parent function.

a)

square root

b)

quadratic

c)

cubic

d)

exponential

8.

Name the parent function.

a)

linear

b)

exponential

c)

logarithmic

d)

cubic

9.

Name the parent function.

a)

constant

b)

linear

c)

quadratic

d)

cube root

10.

Name the parent function.

a)

constant

b)

square root

c)

linear

d)

absolute value

11.

Name the parent function.

a)

constant

b)

quadratic

c)

linear

d)

exponential

12.

Name the parent function.

a)

cubic

b)

cube root

c)

exponential

d)

quadratic

13.

Name the parent function.

a)

cube root

b)

square root

c)

quadratic

d)

linear

14.

Name the parent function.

a)

cubic

b)

square root

c)

rational

d)

cube root

15.

Name the parent function.

a)

quadratic

b)

cubic

c)

square root

d)

logarithmic

16.

Domain is:

a)

All x values, from left to right.

b)

All y values, from bottom to top.

c)

All x values from bottom to top.

d)

All y values from left to right.

17.

Range is:

a)

All x values, from left to right.

b)

All y values, from left to right.

c)

All y values, from bottom to top.

d)

All x values, from bottom to top.

18.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

19.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x)= x²

c)

f(x) = |x|

d)

f(x) = ab^x

20.

Which parent function matches the graph?

a)

f(x) = x

b)

f(x) = x²

c)

f(x) =√(x)

d)

f(x) =∛(x)

21.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

22.

g(x)=f(x)+6
Describe the transformation to f(x) that results in g(x).

a)

f(x) has been translated up 6.

b)

f(x) has been translated down 6.

23.

g(x)=f(x-3)
Describe the transformation to f(x) that results in g(x).

a)

f(x) has been translated to the right 3.

b)

f(x) has been translated to the left 3.

24.

Match the equation to its description.

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

25.

Which equation below is a quadratic function translated up 5 units?

a)

y = x² + 5

b)

y = (x + 5)²

c)

y = 5x²

d)

y = -x² - 5

26.

Which equation below is a quadratic function translated left 4 units?

a)

y = x² + 4

b)

y = (x + 4)²

c)

y = (x - 4)²

d)

y = 4x²

27.

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

a)

y = x² + 2

b)

y = -x² + 2

c)

y = x² - 2

d)

y = -(x + 2)²

28.

Describe the transformation

a)

left 2 up 5

b)

right 2 up 5

c)

left 2 down 5

d)

right 2 down 5

29.

Which equation is an absolute value graph shifted right 5 units?

a)

y = |x - 5|

b)

y = |x + 5|

c)

y = |x| + 5

d)

y = -5|x|

30.

Tell how the graph transformed.
y = (x - 3)²

a)

Translated right 3

b)

Translated left 3

c)

Translated up 3

d)

Translated down 9

31.

Describe the transformation.

a)

up 3

b)

down 3

c)

left 3

d)

right 3

32.

$y=\sqrt{x-\frac{3}{2}}+2$ belongs to what family of functions?

a)

square root

b)

absolute value

c)

linear

d)

quadratic

33.

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

a)

$y=-\left|x-15\right|-3$

b)

$y=-\left|x+15\right|-3$

c)

$y=\frac{1}{2}\left|x+3\right|-15$

d)

$y=\frac{1}{2}\left|x-3\right|-15$

e)

$y=\left|-x-15\right|-3$

34.

Given the function $y=\left(x+4\right)^2+2$ , what is the parent function?

a)

$y=x^2$

b)

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

c)

$y=mx+b$

d)

$y=0\left(x-0\right)^2+0$

35.

Where is the vertex of $y=3\left(x-26\right)^2+14$ ?

a)

(26, 14)

b)

(14, 26)

c)

(-26, 14)

d)

(3, 14)

e)

(3, 26)

36.

In the image, what is the value of the maximum?

a)

$y=8$

b)

$x=-2$

c)

$\left(-2,8\right)$

d)

There is no maximum value

37.

Since the equations of vertical lines always have the form $x=a$ for some constant a, what is the equation for the line of symmetry of the pictured graph?

a)

$x=1$

b)

$y=1$

c)

$x=-2$

d)

$y=0$

38.

Which transformations are involved in the equation $y=\frac{1}{2}\sqrt{x+1}-1$ ?

a)

Horizontal translation left

b)

Vertical shrink

c)

Vertical translation down

d)

Horizontal translation right

e)

Vertical stretch

39.

If $f\left(x\right)=a\left(x-h\right)^2+k$ has a horiz. shift of -2, a vertical shift of +3 and a vertical stretch of 4, what are the values of a, h, and k?

a)

$a=4;\ h=-2;\ k=3$

b)

$a=2;\ h=4;\ k=-3$

c)

$a=4;\ h=2;\ k=3$

d)

$a=3;\ h=2;\ k=-4$

40.

If $f\left(x\right)=a\left(x-h\right)^2+k$ has a horiz. shift of -2, a vert. shift of 3 and a vert. stretch of 4, what is the equation for $f\left(x\right)$ ?

a)

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

b)

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

c)

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

d)

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

41.

What does the transformation $f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9$ do to the graph of $f\left(x\right)$ ?

a)

translates it left one unit and down 9 units

b)

translates it right one unit and down 9 units

c)

translates it up one unit and right 9 units

d)

translates it down one unit and left 9 units

42.

What does the transformation $f\left(x\right)\ \rightarrow\ \frac{1}{3}f\left(x\right)+4$ do to the graph of $f\left(x\right)$ ?

a)

Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

b)

Stretches the graph by a factor of 3 and translates up 4 units.

c)

Translates the graph left 1/3 of a unit and up 4 units.

d)

Translates the graph right 3 unites and down 4 units.

43.

Which of the following are contained in the pictured graph

a)

A minimum

b)

a maximum

c)

a quadratic function

d)

an absolute value function

e)

a y-intercept at 0.

44.

What is the equation for the red function?

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

45.

The blue is f(x)=|x|, red must be

a)

g(x)=|x+2|

b)

g(x)=|x|+2

c)

g(x)=|x-2|

d)

g(x)=|x|-2

46.

If the blue is f(x)=x^2,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

47.

Which would have a range of (5,∞)?

a)

y = -1∕x² + 5

b)

y = 5 + log(x)

c)

y = e^x-5

d)

a & b

e)

none

48.

Which of the following parent function(s) is (are) even?

a)

f(x) = x

b)

f(x) = |x|

c)

f(x) = x²

d)

f(x) = 2^x

e)

f(x) = 1⁄x²

49.

Which of the parent function(s) has (have) end behavior as x --> ∞ , y --> ∞ ?

a)

f(x) = 3^x

b)

f(x) = 1∕x

c)

f(x) = √x

d)

f(x) = log₃x

e)

f(x) = ∛x

50.

a)

y = Ix + 2I - 1

b)

y = -Ix + 2I - 1

c)

y = -Ix - 2I - 1

d)

y = -Ix + 1I - 2

51.

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

52.

Match the equation with the graph:

a)

y = (x - 2)² + 4

b)

y = -(x - 4)² + 2

c)

y = -(x - 2)² + 4

d)

y = -(x + 2)² + 4

53.

What are the transformations to the graph compared to the parent function?

a)

Shifted right 2, shifted up 3, and reflected over the y-axis

b)

Shifted left 2, shifted up 3, and reflected over the y-axis

c)

Shifted left 2, shifted up 3, and reflected over the x-axis

d)

Shifted right 2, shifted up 3, and reflected over the x-axis

54.

Describe the transformations from the original parent function f(x) = x².
g(x) = 5x² + 2

a)

Vertical Stretch of 5
Down 2

b)

Vertical Shrink of 5
Up 2

c)

Vertical Stretch of 5
Up 2

d)

Vertical Shrink of 5
Down 2

55.

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

56.

What is the name of this function?

a)

Parabola

b)

Rational Function

c)

Ellipse

d)

Cubic

57.

Is this mapping a function or not a function?

a)

Function because each x value is mapped to only one value.

b)

Not a Function because some x values are mapped to more than one y value.

58.

Is the graph a function?

a)

Function because every vertical line intersects the graph at most one time.

b)

Not a Function because it fails the vertical line test.

T2U4 CW4 Parent Functions

Total questions: 58

Worksheet time: 49mins

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