Exponential Function Transformations

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

• (0, 0)

• (0, 4)

• (0, 5)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

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

• y = 0

• y = 4

• y = 5

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.B.5

What is the transformation?

• Horizontal Translation left 2
• Vertical Translation down 2
• None
• Reflection across the line y=0

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

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

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

How has the function  $-\left(3\right)^x+4$  been transformed from the parent function  $\left(3\right)^x$  ?

• Shifted up 4

• Shifted down 4

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

What transformations occur in the following function?

• right 3, up 2
• left 3, up 2
• left 3, down 2
• right 3, down 2

Tags

CCSS.HSF.BF.B.3

What is the domain of the function shown below?

• -2 < x < 5
• 0 < x < 12
• y > 0
• All Real Numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

What is the range of the function shown below?

• 0 < y < 12
• -2 < y < 5
• y > 0
• All Real Numbers 

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Write the equation for the transformation if the parent function is  $f\left(x\right)=2^x$  .

• f(x)=2^x-1-3

• f(x)=2^x-1+3

• f(x)=2^x+1-3

• f(x)=2^x+1+3

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

 $f\left(x\right)=2^x$      $g\left(x\right)=2^x+4$   

• Up 4 units

• Down 4 units

• Left 4 units

• Right 4 units

Tags

CCSS.HSF.BF.B.3