Exponential Transformation Practice

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

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis

For  $y=a\left(b\right)^{\left(x-h\right)}$  , how does adding a constant h transform the parent function?

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Reflection over the y-axis

For  $y=a\cdot\left(b\right)^x$  , how does a transform the parent function?

• Horizontal shift

• Vertical Shift

• Reflection over the x-axis

• Dilation (stretch/compress)

What is the transformation?

• Vertical shift up 2 and Horizontal shift right 1

• Vertical shift down 2 and Horizontal shift left 1

• Horizontal shift left 2 and Vertical shift up 1

• Horizontal shift right 2 and Vertical shift down 1

Tags

CCSS.HSF.BF.B.3

What is the transformation?

• Horizontal Translation left 2

• Vertical Translation down 2

• None

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

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

 $g\left(x\right)=0.5^{x-3}$   
 $f\left(x\right)=0.5^x$  

• Left 3 units

• Right 3 units

• Up 3 units

• Down 3 units

Tags

CCSS.HSF.BF.B.3

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

Tags

CCSS.HSF.BF.B.3

Which graph best represents

 $y=2^x-4$  

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Which of the following function best represents this graph?

• shifts down 2

• reflects, shifts up 2

• reflects, shifts down 2
  

• shifts up 2

Tags

CCSS.HSF.BF.B.3

What transformation occurs from

 $y=2^x$  to  $y=-1\cdot2^x$  

• Reflection over the x-axis

• Reflection over the y-axis

• Vertically shift down 1 units

• Changes from growth to decay

Tags

CCSS.HSF.BF.B.3