Transformation of Exponential Functions Quiz

What is the parent function of f(x)=2(1/2)^x-7

• f(x)=2

• f(x)=(1/2)

• f(x)=2^x

• f(x)=(1/2)^x

Tags

CCSS.HSF.BF.B.3

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

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

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

• Translated up 5

• Translated 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

 $f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=5\left(3\right)^x$  
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

 $f\left(x\right)=3^x\ \ \ \ and\ \ \ g\left(x\right)=0.2\left(3\right)^x$  
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?

• Vertical Translation up 2
• Vertical Translation down 2
• Horizontal Translation left 2
• Horizontal Translation right 2

Tags

CCSS.HSF.BF.B.3

What is the transformation?

• Horizontal Translation left 2
• Vertical Translation down 2
• None
• Reflection across the HA

Tags

CCSS.HSF.BF.B.3

What equation would yield a transformation right 3 units if your initial function was y=2^x

• y=2^x-3
• y=2^x+3
• y=2^x+3
• y=2^x-3

Tags

CCSS.HSF.BF.B.3

Given g(x)=(1/2)^x

Write a function that is reflected vertically and translated 4 units up.

• f(x)= -(1/2)^x+4

• f(x)= -(1/2)^x+4

• f(x)= (1/2)^x-4

• f(x)= -(1/2)^x+4

Tags

CCSS.HSF.BF.B.3