Question

What is the equation of the function shown in the graph, given the equation of the parent function is

f(x)=3.5^x?
 


g(x)=3.5^x+1.5

g(x)=3.5^x−1

g(x)=3.5^x−2

g(x)=3.5^x+1

Answer 1

g(x)=3.5^x−2

Explanation:

All answer choices agree that the exponential function is 3.5^x. What they disagree on is the vertical translation. Since the parent exponential function has a horizontal asymptote at y=0 and the graph has one at y=-2, the appropriate answer choice is the one with a vertical translation of -2:

g(x)=3.5^x−2