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Exponential Functions-Transformations

Total questions: 10

Worksheet time: 17mins

Name
Class
Date
1.

What is the y-intercept of g(x)=0.9(2)xg\left(x\right)=0.9\left(2\right)^x  ?

a)

∞\infty  

b)

2

c)

0.9

d)

1

2.

For y=a(b)x+ky=a\left(b\right)^x+k , how does adding a constant "k" transform the parent function?

a)

Horizontal shift

b)

Vertical Translation

c)

Reflection over the x-axis

d)

Reflection over the y-axis

3.

How has the function y=7(3)x−5y=7\left(3\right)^x-5 been transformed from the parent function  y=7(3)xy=7\left(3\right)^x ?

a)

Translated up 5

b)

Translated down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

4.

How has the function −5(3)x-5\left(3\right)^x been transformed from the parent function  5(3)x5\left(3\right)^x ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

5.

What is the y-intercept of the function y=4(5)x?y=4\left(5\right)^x?  

a)

(0, 0)

b)

(0, 4)

c)

(0, 5)

6.

What is "a", the initial value, for the function: f(x) = 300(1.16)x?

a)

300

b)

1.16

c)

.16

d)

x

7.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
8.

f(x)=3x    and   g(x)=5(3)xf\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

9.

What type of function is y=7(5)x

a)

Exponential Growth

b)

Linear Function

c)

Exponential Decay

d)

Quadratic Function

10.
What transformations have happened to f(x) = 2x 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