Quiz Retake: Transforming Exponential Functions

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)

Tags

CCSS.HSF.BF.B.3

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)

Tags

CCSS.HSF-IF.C.7E

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

Tags

CCSS.HSF.BF.B.3

The graph of the function  $y=2^{\left(x-3\right)}+4$  will look like the graph of the parent function  $y=2^x$  shifted

• 4 units in the negative x direction (left), and 3 units down

• 3 units in the negative x direction (left), and 4 units down

• 4 units in the positive x direction (right), and 3 units up

• 3 units in the positive x direction (right), and 4 units up

The parent function f(x) = 0.5^x is transformed into the function g(x) = 0.7(0.5)^x. Describe the transformation.

• vertical stretch

• vertical compression

• reflection

• reflection and vertical compression

Tags

CCSS.HSF.BF.B.3

Using the parent function f(x) = 0.4^x, which function describes a transformation of f(x) moving up 5 units?

• f(x) = 0.4^x + 5

• f(x) = 0.4^x - 5

• f(x) = 5(0.4)^x

• f(x) = 0.4(5)^x

 If g(x) is a transformation of f(x), describe the transformation.

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

 $f\left(x\right)=\left(3\right)2^x$  

• Down 3 units

• Stretch vertically

• Horizontal reflection

• Vertical reflection

Tags

CCSS.HSF.BF.B.3

 If f(x) is a transformation of g(x), describe the transformation.

 $g\left(x\right)=0.5^{x-3}$   
 $f\left(x\right)=0.5^x$  
Be careful!  This is not the same question at #4!

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units

Tags

CCSS.HSF.BF.B.3