Transformations of Exponential Functions

How has the function  $7\left(3\right)^x-5$  been transformed from the parent function  $7\left(3\right)^x$  ?

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

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

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

Determine the horizontal asymptote for the function

f(x) = 3(2)^x-4 + 5

• x=4

• y=4

• x=5

• y=5

Tags

CCSS.HSF-IF.C.7E

Which of the following is an exponential decay? (Check all that apply)

• y = 5⋅(1/5)^x

• y = 5⋅(7/2)^x

• y = 5⋅8^x

• y = 5⋅1.5^x

Tags

CCSS.HSF-IF.C.8B

 $f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$  
What transformation has taken place from the parent function to g(x)

• Vertical Stretch

• Vertical Compression

• Translation up 5 units

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

What is the transformation?

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

Tags

CCSS.HSF.BF.B.3

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same
• reflects, up 3, left 6
• reflects, right 3, down 6
• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3

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