Transformations of Exponential Functions "k"

What transformation maps the parent function  $f\left(x\right)=2^x$  to  $g\left(x\right)=2^x-8$  ?

• Translate up 2 units

• Translate down 2 units

• Translate up 8 units

• Translate down 8 units

Tags

CCSS.HSF.BF.B.3

What transformation maps the parent function  $f\left(x\right)=3^x$  to  $g\left(x\right)=3^x+4$  ?

• Translate up 3 units

• Translate down 3 units

• Translate up 4 units

• Translate down 4 units

Tags

CCSS.HSF.BF.B.3

What transformation maps the parent function  $f\left(x\right)=\left(\frac{1}{2}\right)^x$  to  $g\left(x\right)=\left(\frac{1}{2}\right)^x+3$  ?

• Translate up 1 unit

• Translate up 2 units

• Translate up 3 units

• Translate up 1/2 unit

Tags

CCSS.HSF.BF.B.3

What transformation maps the parent function  $f\left(x\right)=8^x$  to  $g\left(x\right)=8^x-10$  ?

• Translate up 8 units

• Translate down 8 units

• Translate up 10 units

• Translate down 10 units

Tags

CCSS.HSF.BF.B.3

If the parent function  $f\left(x\right)=4^x$  is translated up 2 units, what would the equation of the resulting function be?

•  $g\left(x\right)=4^x+2$  

•  $g\left(x\right)=2^x+4$  

•  $g\left(x\right)=2\cdot4^x$  

•  $g\left(x\right)=4^x-2$  

Tags

CCSS.HSF.BF.B.3

If the parent function  $f\left(x\right)=5^x$  is translated down 7 units, what would the equation of the resulting function be?

•  $g\left(x\right)=5^x+7$  

•  $g\left(x\right)=7^x+5$  

•  $g\left(x\right)=-7\cdot5^x$  

•  $g\left(x\right)=5^x-7$  

Tags

CCSS.HSF.BF.B.3

The parent function  $f\left(x\right)=3^x$   is shown in red and is translated. What is the equation of the blue graph?

•  $g\left(x\right)=3^x+4$  

•  $g\left(x\right)=3^x+5$  

•  $g\left(x\right)=3^x-4$  

•  $g\left(x\right)=3^x-5$  

Tags

CCSS.HSF-IF.C.7E

The parent function f(x) is translated up 2 units resulting in g(x). g(x) is equal to what?

• g(x)=2f(x)

• g(x)= f(x) + 2

• g(x) = f(x) - 2

The parent function f(x) is translated down 8 units resulting in g(x). g(x) is equal to what?

• g(x)=8f(x)

• g(x)= -8f(x)

• g(x) = f(x) + 8

• g(x) = f(x) - 8

The parent function f(x) is translated up 6 units resulting in g(x). g(x) is equal to what?

• g(x)= 6 + f(x)

• g(x)= 6f(x)

• g(x) = f(x) - 6

• g(x) = -6f(x)