Graphing Exponential Transformations

Given the original exponential function defined by y=4^x, how would the graph change if the function were: y=2(4)^x-3+1?

• Vertically stretched by a factor of 2, right 3, and up 1

• Vertically compressed by a factor of 1/2, left 3 and down 1

• Vertically compressed by a factor of 1/2, right 3, and down 1

• Vertically stretched by a factor of 2, left 3, and up 1

Identify the Range.
f\left(x\right)=\left(7\right)^x

Identify the range

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

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

Given y=3^x determine the y-intercept 

• (0,1)

• (0,3)

• No Y-intercept

• y=1

What is the horizontal asymptote for the graph of

f(x)=13(0.5)^x ?

• y=0.5

• y=13

• y=6

• y=0

Identify the domain?

Identify the Intercept

• (0,7)

• (0,6)

• (0,10)
  

• (0,1)

Is the pictured graph growth, decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None