Free Printable MT1 SC3 LT1

1.

Describe the transformation

$f\left(x\right)+3$

a)

3 Units Up

b)

3 Units Down

c)

3 Units Left

d)

3 Units Right

2.

Describe the transformation

$f\left(x-2\right)$

a)

2 Units Up

b)

2 Units Down

c)

2 Units Left

d)

2 Units Right

3.

Describe the transformation

$f\left(x+5\right)$

a)

5 Units Up

b)

5 Units Down

c)

5 Units Left

d)

5 Units Right

4.

Describe the transformation

$f\left(x\right)-6$

a)

6 Units Up

b)

6 Units Down

c)

6 Units Left

d)

6 Units Right

5.

Describe the transformations

$g\left(x+4\right)-6$

a)

4 Units Left

6 Units Up

b)

4 Units Left

6 Units Down

c)

4 Units Right

6 Units Up

d)

4 Units Right

6 Units Down

6.

Describe the transformations

$-g\left(x\right)+2$

a)

Reflected across the x-axis

2 Units Up

b)

Reflected across the x-axis

2 Units Down

c)

Reflected across the y-axis

2 Units Up

d)

Reflected across the y-axis

2 Units Down

7.

Describe the transformation

$3h\left(x\right)$

a)

Vertically Stretched by a factor of 3

b)

Vertically Compressed by a factor of 3

c)

Horizontally Stretched by a factor of 3

d)

Horizontally Stretched by a factor of 3

8.

Describe the transformation

$h\left(\frac{1}{3}x\right)$

a)

Vertically Stretched by a factor of $\frac{1}{3}$

b)

Vertically Compressed by a factor of $\frac{1}{3}$

c)

Horizontally Stretched by a factor of $3$

d)

Horizontally Stretched by a factor of $\frac{1}{3}$

9.

Describe the transformations

$g\left(-x\right)-4$

a)

Reflected across the x-axis

4 Units Left

b)

Reflected across the x-axis

4 Units Down

c)

Reflected across the y-axis

4 Units Left

d)

Reflected across the y-axis

4 Units Down

10.

Which equation describes the transformation of shifting f(x)=x² two units right?

a)

x² + 2

b)

x² - 2

c)

(x + 2)²

d)

(x - 2)²

11.

Match the description to its equation.
Moves right 7

a)

A

b)

B

c)

C

d)

D

12.

Match the description to its equation.
-Moves left 2

a)

A

b)

B

c)

C

d)

D

13.

.
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

14.

.
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

15.

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

16.

Which equation describes the transformation of shifting f(x)=x³ four units down?

a)

x³+ 4

b)

x³- 4

c)

(x - 4)³

d)

(x + 4)³

17.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 and up 5

b)

Right 3 and down 5

c)

Left 3 and down 5

d)

Right 3 and up 5

18.

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

a)

Reflect over y-axis
Shifted down 10 units
Shifted left 6 units

b)

Reflect over x-axis
Shifted up 10 units
Shifted left 6 units

c)

Reflect over y-axis
Shifted up 10 units
Shifted right 6 units

d)

Reflect over x-axis
Shifted down 10 units
Shifted left 6 units

19.

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

20.

Describe the parent graph transformation

a)

Vertical stretch by 1/2, left 1, down 3

b)

Vertical stretch by 1/2, right 1, down 3

c)

Vertical Shrink by 1/2, left 1, down 3

d)

Vertical Shrink by 1/2, right 1, down 3

21.

How did the equation shift from the parent function?

y = f(x) + c

a)

Shifted up "c" units

b)

Shifted down "c" units

c)

Stretches vertically

d)

Shifted right "c" units

22.

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

a)

Translation left 2 units

b)

Translation right 2 units

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

23.

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

24.

Given the functions which of the following would describe the transformation that maps f(x) onto g(x)? $f\left(x\right)=\left(x-6\right)$ $g\left(x\right)=\left(x-7\right)$

a)

left 3

b)

right 1

c)

left 1

d)

up 7

e)

down 1

25.

Given the functions which of the following would describe the transformation that maps f(x) onto g(x)? $f\left(x\right)=x+4$ $g\left(x\right)=x+3$

a)

left 3

b)

up 2

c)

left 5

d)

up 7

e)

down 1

26.

Given the functions which of the following would describe the transformation that maps f(x) onto g(x)? $f\left(x\right)=x-7$ $g\left(x\right)=x+2$

a)

left 3

b)

up 2

c)

left 5

d)

up 9

e)

down 7

27.

Given the functions which of the following would describe the transformation that maps f(x) onto g(x)? $f\left(x\right)=\left(2x+2\right)$ $g\left(x\right)=\left(2x+4\right)$

a)

left 1

b)

right 2

c)

left 5

d)

right 5

e)

right 2

28.

Given the functions which of the following would describe the transformation that maps f(x) onto g(x)? $f\left(x\right)=2x+1$ $g\left(x\right)=2x+4$

a)

up 3

b)

down 3

c)

up 5

d)

down 5

e)

right 4

29.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 and up 5

b)

Right 3 and down 5

c)

Left 3 and down 5

d)

Right 3 and up 5

30.

Identify the transformations.

a)

horizontal shift to the left 2 and vertical stretch by a factor of 3

b)

horizontal shift to the right 2 and vertical stretch by a factor of 3

c)

horizontal shift to the right 2 and vertical shrink by a factor of 3

d)

horizontal shift to the left 2 and vertical shrink by a factor of 3

31.

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

32.

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

a)

f(x) has been reflected over the x-axis.

b)

f(x) has been reflected over the y-axis.

33.

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

34.

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

a)

Vertical Compression by a factor of 2

b)

Vertical Stretch by a factor of 2

c)

Vertical translation up by 2 units.

d)

Reflection across the x-axis.

35.

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

a)

The graph of f is shifted 12 units to the right to create the graph of g.

b)

The graph of f is shifted 12 units down to create the graph of g.

c)

The graph of f is shifted 12 units up to create the graph of g.

d)

The graph of f is shifted 12 units to the left to create the graph of g.

36.

A student graphed f(x) = x and g(x) = f(x - 15). Which statement is true?

a)

The graph of f is shifted 15 units to the right to create the graph of g.

b)

The graph of f is shifted 15 units down to create the graph of g.

c)

The graph of f is shifted 15 units up to create the graph of g.

d)

The graph of f is shifted 15 units to the left to create the graph of g.

37.

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

38.

Match the equation to its description.

a)

Reflected over x, right 2 and up 1

b)

Reflected over x, left 2 and up 1

c)

Reflected over x, right 2 and down 1

d)

Reflected over x, left 2 and down 1

39.

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|

40.

What transformation maps $f\left(x\right)=3^x$ to $g\left(x\right)=3^{x+2}$

a)

Translates left 2 units

b)

Translates right 2 units

c)

Translates up 2 units

d)

Translates down 2 units

41.

$f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$
What transformation has taken place from the parent function to g(x)

a)

Vertical Stretch

b)

Vertical Compression

c)

Translation up 5 units

d)

Reflection across the x-axis

42.

What transformations occur in the following function?

a)

right 3, up 2

b)

left 3, up 2

c)

left 3, down 2

d)

right 3, down 2

43.

What transformations have happened to f(x) = 2^x if the new equation is
g(x) = -2^(x+3) -6

a)

It stayed the same

b)

reflects, up 3, left 6

c)

reflects, right 3, down 6

d)

reflects, left 3, down 6

44.

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

a)

4 units up

b)

4 units to the left

c)

4 units to the right

d)

4 units down

45.

What equation would yield a transformation right 3 units if your initial function was y=2^x

a)

y=2^x-3

b)

y=2^x+3

c)

y=2^x+³

d)

y=2^x-³

46.

Given the original exponential function defined by y=4^x, how would the graph change if the function were:

y=2(4)^x-3+1?

a)

Vertically stretched by a factor of 2, right 3, and up 1

b)

Vertically compressed by a factor of 1/2, left 3 and down 1

c)

Vertically compressed by a factor of 1/2, right 3, and down 1

d)

Vertically stretched by a factor of 2, left 3, and up 1

47.

What is the transformation?

a)

Vertical Translation up 1

b)

Vertical Translation down 1

c)

Horizontal Translation left 1

d)

Horizontal Translation right 1

48.

What is the transformation?

a)

Vertical Translation up 2

b)

Vertical Translation down 2

c)

Horizontal Translation left 2

d)

Horizontal Translation right 2

49.

What is the transformation?

a)

Vertical Translation up 2 and Horizontal translation right 1

b)

Vertical Translation down 2 and Horizontal Translation left 1

c)

Horizontal Translation left 2 and Vertical Translation up 1

d)

Horizontal Translation right 2 and Vertical Translation down 1

50.

Which of the following is NOT a transformation of the equation

f\left(x\right)=3\cdot2^{\left(x-3\right)}+3

a)

Shift horizontally left 3 units

b)

Shift vertically up 3 units

c)

Shift horizontally right 3 units

d)

Vertically stretched by a factor of 3

51.

What transformation occurs from

y=2^x

to

y=-1\cdot2^x

a)

Reflection over the x-axis

b)

Reflection over the y-axis

c)

Vertically shift down 1 units

d)

Changes from growth to decay

52.

Which of the following describes the transformation of $f\left(x\right)=\frac{1}{2}\cdot2^{\left(x+2\right)}-3$ from the parent graph $g\left(x\right)=2^x$

a)

Vertically shift down 3, horizontally shift left 2, and vertically compressed 1/2 units

b)

Vertically shift up 3, horizontally shift left 2, and vertically compressed 1/2 units

c)

Vertically shift down 3, horizontally shift right 2, and vertically compressed 1/2 units

d)

Vertically shift up 3, horizontally shift right2, and vertically compressed 1/2 units

53.

How has the function $3^x-5$ been transformed from the parent function $3^x$ ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

54.

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

a)

Horizontal shift left one unit

b)

Horizontal shift right one unit

c)

Vertical shift up one unit

d)

Vertical shift down one unit

55.

What is the transformation?

a)

Vertical Translation up 2 and Horizontal translation right 1

b)

Vertical Translation down 2 and Horizontal Translation left 1

c)

Horizontal Translation left 2 and Vertical Translation up 1

d)

Horizontal Translation right 2 and Vertical Translation down 1

56.

What transformations have happened to y = 2^x if the new equation is

y = 2^(x+3) -6

a)

It stayed the same

b)

up 3, left 6

c)

right 3, down 6

d)

left 3, down 6

57.

Click all that apply:

$g\left(x\right)=-f\left(x+5\right)-6$

a)

reflect over the x-axis

b)

left 5

c)

right 5

d)

up 6

e)

down 6

58.

Click all that apply:

$g\left(x\right)=f\left(x-1\right)+6$

a)

reflect over the x-axis

b)

left 1

c)

right 1

d)

up 6

e)

down 6

59.

Click all that apply:

$g\left(x\right)=-f\left(x-7\right)+3$

a)

reflect over the x-axis

b)

left 7

c)

right 7

d)

up 3

e)

down 3

60.

Click all that apply:

$g\left(x\right)=-f\left(x+4\right)-1$

a)

reflect over the x-axis

b)

left 4

c)

right 4

d)

up 1

e)

down 1

61.

Click all that apply:

$g\left(x\right)=f\left(x+3\right)-8$

a)

reflect over the x-axis

b)

left 3

c)

right 3

d)

up 8

e)

down 8

62.

Find the function that is transformed right 4 and up 7

a)

$g\left(x\right)=f\left(x-4\right)+7$

b)

$g\left(x\right)=f\left(x-4\right)-7$

c)

$g\left(x\right)=f\left(x+4\right)-7$

d)

$g\left(x\right)=-f\left(x-4\right)+7$

63.

Find the function that is transformed right 6, down 2 and reflected over the x-axis

a)

$g\left(x\right)=f\left(x-6\right)+2$

b)

$g\left(x\right)=-f\left(x-6\right)-2$

c)

$g\left(x\right)=-f\left(x+6\right)-2$

d)

$g\left(x\right)=-f\left(x+6\right)+2$

64.

Find the function that is transformed up 5, reflected over the x-axis and moved horizontally left 4.

a)

$g\left(x\right)=f\left(x-4\right)+5$

b)

$g\left(x\right)=f\left(x+4\right)+5$

c)

$g\left(x\right)=-f\left(x-4\right)+5$

d)

$g\left(x\right)=-f\left(x+4\right)+5$

65.

Which function moves left 3 and down 4?

a)

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

b)

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

c)

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

d)

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

66.

Match the equation to its description.

a)

Translated right 2 and up 2

b)

Translated left 2 and up 2

c)

Translated right 2 and down 2

d)

Translated left 2 and down 2

67.

f(x) = ⅔(x - 7)²

a)

Shrink of ⅔

Translated right 7

b)

Shrink of ⅔

Translated left 7

c)

Stretch of ⅔

Translated right 7

d)

Stretch of ⅔

Translated left 7

68.

Identify the transformation from the graph of f(x)=2^xto the graph g(x)=2^x-3

a)

Translated up three units

b)

Translated down three units

c)

Translated left three units

d)

Translated right four units

69.

Identify the transformation from the graph of f(x)=2^xto the graph g(x)=2^x-3

a)

Translated up three units

b)

Translated down three units

c)

Translated left three units

d)

Translated right four units

70.

Identify the transformation from the graph of f(x)=2^xto the graph g(x)=2^(x+4)

a)

Translated up four units

b)

Translated down four units

c)

Translated left four units

d)

Translated right four units

71.

Describe the transformation from the parent function:

f(x) = -√(x) - 2

a)

Reflect over x-axis

Translated down 2

b)

Reflect over y-axis

Translated up 2

c)

Reflect over x-axis

Translated up 2

d)

Reflect over y-axis

Translated down 2

72.

Describe the transformation from the parent function:

f(x) = |-x + 3|

a)

Reflect over y-axis

Translated left 3

b)

Reflect over y-axis

Translated right 3

c)

Reflect over x-axis

Translated left 3

d)

Reflect over x-axis

Translated right 3

73.

Which equation shows a function that is reflected and translated from the parent function?

a)

y = (-x + 12)²

b)

y = -5|x|

c)

y = x²

d)

y = ⅓(x - 5)²

74.

How is this function transformed from the parent function?

a)

Translated left 1 and up 5

b)

Translated right 1 and up 5

c)

Translated left 5 and down 1

d)

Translated right 5 and down 1

75.

How is this function transformed from the parent?
y = 6(-x)²

a)

Stretched 6 and reflected over the y-axis

b)

Stretched 6 and reflected over the x-axis

c)

Shrunk 6 and reflected over the y-axis

d)

Shrunk 6 and reflected over the x-axis

76.

What transformations happen to the function h(x) = -1/4 |x - 8| ?

a)

Shrink by a factor of -1/4, left 8

b)

Shrink by a factor of -1/4, right 8

c)

Reflect across y-axis, shrink 1/4, left 8

d)

Reflect across x-axis, shrink 1/4, right 8

77.

What transformations happen to the function f(x) = -3(x - 4)² ?

a)

left 3, down 4

b)

reflect across y-axis, stretch 3, left 4

c)

reflect across x-axis, stretch 3, right 4

d)

down 3, right 4

78.

Let f(x)=√(x) and g(x)= -3√(x-2)+1. Describe g(x) in terms of f(x):

a)

flip over x axis, vertical stretch, right 2, up 1

b)

flip over y axis, vertical compression, left 2, up 1

c)

flip over x axis, vertical stretch, left 2, up 1

d)

flip over y axis, vertical compression, right 2, up 1

79.

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

80.

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

a)

left 3

b)

right 3

c)

left 5

d)

right 5

81.

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

a)

Vertical Stretch by a factor of 2 and vertical shift up 4 units

b)

Vertical Compress by a factor 2 and vertical shift up 4

c)

Vertical Stretch by a factor of 2 and horizontal shift left 4 units

d)

Vertical Compress by a factor of 2 and horizontal shift right 4 units

82.

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

a)

horizontal shift left 7 units

b)

horizontal shift right 7 units

c)

vertical shift up 7 units

d)

vertical shift down 7 units

83.

What transformations have occurred?

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

84.

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

a)

left 5

b)

right 5

c)

up 5

d)

down 5

85.

In the equation f(x)=5(x+3)²-10 what does the 5 do?

a)

Vertical stretch by 5

b)

Horizontal compress by 5

c)

Reflect

d)

Move up 5

86.

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

a)

reflection, vertical compression, horizontal right, vertical up

b)

vertical compression, horizontal shift left, vertical shift up

c)

reflection, horizontal shift right, vertical shift down

d)

no changes were made to y = x²

MT1 SC3 LT1

Total questions: 86

Worksheet time: 2hrs 16mins

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