Free Printable Log Transformations

Worksheets

Log Transformations

Total questions: 30

Worksheet time: 3585secs

Name

Class

Date

Describe the transformation that occurred

p(x) = f(x + 3)

Right 3 units

Vertical Stretch

Up 3 units

Left 3 units

Describe the transformation that occurred.

h(x) = f(x) + 2

up 2 units

left 2 units

Vertical Strech

right 2 units

Describe the transformation that occurred.

w(x) = f(x - 7)

Down 7

Up 7

Right 7

vertical compression

Describe the transformation that occurred

m(x) = f(x + 1)

Left 1 Unit

Right 1 unit

vertical stretch

up 1 unit

Describe the transformation that occurred

k(x) = f(x) - 9

vertical compression

Down 9 units

Left 9 units

Right 9 Units

Describe the transformation that occurred

t(x) = f(x) - 1

Right 1 Unit

Down 1 Unit

vertical compression

vertical stretch

Describe the transformation that occurred
d(x) = f(x) - 1

Left 1 Unit

Right 1 Unit

Up 1 Unit

Down 1 Unit

Describe the transformation that occurred

p(x) = f(x + 3)

Right 3 units

Vertical Stretch

Up 3 units

Left 3 units

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

Left 4

Right 4

Up 4

Down 4

10.

What are the transformations?
y=(x-2)³+4

Horz shift right 2 Vert shift up 4

Horz shift left 2 Vert shift up 4

Horz shift right 2 Vert shift down 4

Horz shift left 2 Vert shift up 4

11.

Describe the transformation from dotted to solid.

f(x + 4)

f(x - 4)

f(x) + 4

f(x) - 4

12.

Describe the transformation from dotted to solid.

f(x + 5) + 3

f(x +3) + 5

f(x - 5) + 3

f(x - 3) + 5

13.

What is the transformation of the logarithmic function
$f\left(x\right)=\log\ \left(x+3\right)-1$

left 3, right 1

right 3, down 1

right 3, up 1

left 3, down 1

14.

Which graph matches the function

*remember the transformation has shifted it right 3 and down 3

15.

Which graph matches the logarithmic equation

16.

Which graph is logarithmic

17.

What equation matches the graph?

f(x) = 3^x

f(x) = (⅓)^x

f(x) = log₃(x)

18.

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

g(x)=log₃(x+6)+4

g(x)=log₃(x+4)-6

g(x)=log₃(x-6)+4

g(x)=3log(x+6)+4

19.

Match the graph with its equation

y = log₆(-x) + 1

y = log₆(x − 2) + 1

y = log₆(x + 2) - 1

y = log(x-8) + 1

20.

Match the graph with its equation

y = log₅ (x + 1) + 1

y = log₅ (x - 1) + 1

y = log₅ (x²) + 1

y = log₅ (x)-1

21.

Match the graph with its equation

y = log₄ (x)+2

y = log₄ (x + 2) + 1

y = log₄ (x - 1) + 2

y = log₄ (-x + 2)

22.

The graph

g\left(x\right)=2^{\left(x-3\right)}

is shown, which statement best describes the transformation from the parent graph

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

Vertically shift up 3

Vertically shift down 3

Horizontally shift right 3

Horizontally shift left 3

23.

Which graph best represents

y=2^x-4

24.

What is the transformation?

Vertical Translation up 1

Vertical Translation down 1

Horizontal Translation left 1

Horizontal Translation right 1

25.

What is the transformation?

Vertical Translation up 2

Vertical Translation down 2

Horizontal Translation left 2

Horizontal Translation right 2

26.

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

Shifted up 5

Shifted down 5

Reflection over the x-axis

Reflection over the y-axis

27.

$y=4^{\left(x-2\right)}$

$y=4^x-2$

$y=4^x+2$

$y=4^{\left(x+2\right)}$

28.

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

Horizontal Shift to the right 1 unit

Horizontal shift to the left one unit

Vertical shift one unit up

Vertical shift one unit down

29.

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

Horizontal shift left one unit

Horizontal shift right one unit

Vertical shift up one unit

Vertical shift down one unit

30.

Write the equation of the graph.

f(x) = 3^x+2

f(x) = 3^x - 2

f(x) = 3^x + 2

f(x) = (1/3)^x +2

100 %

Log Transformations

Total questions: 30

Worksheet time: 3585secs

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