Transforming Exponential Functions

Is the pictured graph growth, decay, or linear or none?  

• Growth
• Decay
• Linear
• None

Would this function represent exponential growth or decay?

 $y=\left(0.4\right)^x$  

• Exponential growth

• Exponential decay

• Both

• Neither

A(n) ___________________ is a line that the graph gets really close to but never crosses.

• equation

• asymptote

• function

• barrier

The graph of  $y=4^x-2$  looks like the graph of the parent function  $y=4^x$  shifted ...

• up 2 units

• down 2 units

• 2 units in the negative x direction (left)

• 2 units in the positive x direction (right)

The graph of $y=2^x+3$   looks like the graph of the parent function  $y=2^x$  shifted ...

• up 3 units

• down 3 units

• 3 units in the negative x direction (left)

• 3 units in the positive x direction (right)

The graph of  $y=2^{\left(x-6\right)}$  looks like the graph of the parent function  $y=2^x$  shifted ...

• up 6 units

• down 6 units

• 6 units in the negative x direction (left)

• 6 units in the positive x direction (right)

Name the transformation(s) of this function compared to it's parent function:

 $y=3\left(2\right)^x-3$  

• more steep, up 3

• more steep, down 3

• less steep, left 3

• less steep, right 3

The graph of  $y=-5^x$  looks like the graph of the parent function  $y=5^x$  ...

• reflected over the Y axis

• reflected over the X axis

• shifted up 5 units

• shifted down 5 units

The graph of  $y=3^{\left(x+1\right)}$  looks like the graph of the parent function  $y=3^x$  shifted ...

• up one unit

• down one unit

• one unit in the negative x direction (left)

• one unit in the positive x direction (right)

Name the transformation(s) of this function compared to the parent function  $y\ =\ 2^x$  :

 $y=-2^{\left(x-3\right)}$  

• flips, up 3

• flips, down 3

• flips, left 3

• flips, right 3