Question

the advertising and sales model of a company is given by the function s = 2t² + 100, where t is time in months and t ≥ 0. if advertising is delayed by a month, which type of transformation will occur to this model?

a. shift along the x–axis
b. shift along the y–axis
c. reflection through the y–axis
d. reflection through the origin

Explanation:

Step1: Rewrite delayed model

The delayed function is $S(t) = 2(t-1)^2 + 100$.

Step2: Identify transformation type

This matches the form $f(t-a)$ which shifts $f(t)$ right along the $t$ (x-) axis.

Answer:

A. shift along the x-axis