Equation(s) for the Horizontal asymptote(s): g(x) = e^x - 5?

Question

Describe the transformations on the following graph of . State the placement of the horizontal asymptote and y-intercept after the transformation. For example, left 1 or reflected about the y-axis are descriptions.

Description of transformation:

and

Equation(s) for the Horizontal asymptote(s):

for g(x) = e^x - 5

Answer 1

y = e^x needs to be moved down 5 units vertically to produce

y = e^x - 5.

The horizontal asymptote for y = e^x is y = 0, and therefore for y = e^x - 5 it is y = - 5.