Free Printable B Packet WK 2 Exponential Graph Transformation & Expo Rules

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B Packet WK 2 Exponential Graph Transformation & Expo Rules

Total questions: 20

Worksheet time: 21mins

Name

Class

Date

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

Which graph best represents

y=2^x-4

What transformation occurs from

y=2^x

y=-1\cdot2^x

Reflection over the x-axis

Reflection over the y-axis

Vertically shift down 1 units

Changes from growth to decay

What is the equation for the asymptote for the graph of $f\left(x\right)=2^{\left(x-3\right)}$ ?

$x=0$

$y=0$

$x=3$

$y=2$

What is the transformation?

Vertical Translation up 2

Vertical Translation down 2

Horizontal Translation left 2

Horizontal Translation right 2

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

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

What is the asymptote of y = 2^x - 3

y = 0

y = -3

x = 0

x = -3

What is the transformation?

Vertical Translation up 2 and Horizontal translation right 1

Vertical Translation down 2 and Horizontal Translation left 1

Horizontal Translation left 2 and Vertical Translation up 1

Horizontal Translation right 2 and Vertical Translation down 1

10.

Solve for x using the same base method.
(-3)^x = (-3)¹³

-3

x + 13

x -13

11.

Solve for x using the same base method.
3^x-20= 27

-7

12.

Solve: 2^x = 4^x+1

-2

-3

13.

Solve: 9^8-x = 27^x-3

x = 5

x = -5

x = 1/5

x = -1/5

14.

Solve 8 = 2^5x+7

x = ⅘

x = ¼

x = -⅘

x = -¼

15.

Solve for x:
(1/8)^x = 2³

x=−3

x=3

x=−1

x=1

16.

(-4r³s⁵)⁰ (3b⁴c²d)

-12b⁴c²d

3b⁴c²d

17.

Choose any that describe e

rational

irrational

18.

Which line is steeper:

f(x)= 4^x

g(x)=6^x

f(x)

g(x)

19.

Which function is steeper:

f(x)=4.99^x

g(x)=4.9^x

f(x)

g(x)

20.

Convert this expression to exponential form.

9^-1

9^1/3

9^1/2

9^-2

Reset

B Packet WK 2 Exponential Graph Transformation & Expo Rules

Total questions: 20

Worksheet time: 21mins

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