Starting with the graph of $y=e^{x}$ , write the equation of the graph that results from shifting 5 units right.
A) $y=e^{x+5}$
B) $y=e^{x}-5$
C) $y=e^{x-5}$
D) $y=e^{x}+5$
E) $y=5 e^{x-5}$

Question

Quizplus · Accepted Answer

Shifting 5 units to the right means we need to subtract 5 from x, not add 5 as in option A or D. Therefore, the correct equation is y = e^(x-5) which is option C. Option E involves both a horizontal and a vertical shift, so it is not a valid choice for this problem. Option B involves a vertical shift of -5, which is not what we need.

Starting with the Graph Of y=exy=e^{x}y=ex , Write the Equation of the Graph That Results from of the Graph

Starting with the Graph Of $y=e^{x}$ , Write the Equation of the Graph That Results from of the Graph