Exponential Functions Graphing & Solving

Transformations

100

|a|>1 determine if it’s a Vertical Stretch?

True or False

True

200

Describe the transformation if f(x)=3^x is the parent function and g(x)=3^x+2 is the transformed function.

Horizontal Translation left 2 units

300

Describe the transformation if f(x)=3(4)^x is the parent function and g(x)=.15(4)^x is the transformed function.

Vertical Compression

400

Describe the transformation if f(x)=-4^x-2 is the parent function and g(x)=4^x-2 is the transformed function

Reflection

Solve

100

2^x+1=2⁹

x=8

200

7^4x+11=1/7

x=-3

300

Drop the bases and…

SET THE EXPONENTS EQUAL TO EACHOTHER

400

2^p-7=8

p=10

Graph

100

What is an Asymptote?

A line in which the graph gets close to but never crosses.

200

f(x)=4/5(.8)^x-9

^{Growth or Decay}

Decay

300

What type of function is y=7(5/4)^x?

Exponential Growth

400

Which of the following is an exponential GROWTH function whose y-intercept is 50?

A) y=50(.05)^x         B)y=50^x-4

C) y=(2)^x+50         D) y=50(1.4)^x

D