Transformations of Exponential Functions

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

•  $g\left(x\right)=3^x+2$  

•  $g\left(x\right)=3^x-2$  

•  $g\left(x\right)=3^{x-2}$  

•  $g\left(x\right)=3^{x+2}$  

Tags

CCSS.HSF-IF.C.7E

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

• $g\left(x\right)=3^x+5$

• $g\left(x\right)=3^x-5$

• $g\left(x\right)=3^{x-5}$

• $g\left(x\right)=3^{x+5}$

Tags

CCSS.HSF.BF.B.3

If the original function  $f\left(x\right)=2^x$  is translated left 8 units, what would the equation of the resulting function be?

•  $g\left(x\right)=2^{x-8}$  

•  $g\left(x\right)=2^{x+8}$  

•  $g\left(x\right)=2^x+8$  

•  $g\left(x\right)=2^x-8$  

Tags

CCSS.HSF.BF.B.3

If the original function  $f\left(x\right)=7^x$  is translated up 3 units, what would the equation of the resulting function be?

•  $g\left(x\right)=7^x+3$  

•  $g\left(x\right)=7^{x-3}$  

•  $g\left(x\right)=7^{x+3}$  

•  $g\left(x\right)=3\cdot7^x$  

Tags

CCSS.HSF.BF.B.3

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up
• 4 units to the left
• 4 units to the right
• 4 units down

Tags

CCSS.HSF.BF.B.3

How does the graph of g(x) = $2^x-6$ compare to f(x) = $2^x$

• The graph of g(x) is a translation 6 units down from the graph of f(x).

• The graph of g(x) is a translation 6 units up from the graph of f(x).

• The graph of g(x) is a translation 6 units right from the graph of f(x).

• The graph of g(x) is a translation 6 units left from the graph of f(x).

Tags

CCSS.HSF.BF.B.3

Given f(x) =4^x shown in red, what is the equation of the transformed function in blue?

• f(x)= 4^x+5

• f(x)= 4^x+5

• f(x)= 4^x-4

• f(x)= 4^x-4

Tags

CCSS.HSF.BF.B.3