check your understanding math 115b - module 14\nsection 7.4 transformations of functions\nif for $r(t) =…

check your understanding math 115b - module 14\nsection 7.4 transformations of functions\nif for $r(t) = e^t$ for $t > 0$, what is the function that describes $s(t) = r(t - 4)$?\nplease mark the radio-button below and submit your answer by clicking on the submit button\na) $s(t) = e^{(t - 4)}$\nb) $s(t) = e^t - 4$\nc) $s(t) = e^{(t + 4)}$\nd) $s(t) = e^t + 4$
Answer
Explanation:
Step1: Substitute $t-4$ into $r(t)$
Given $r(t) = e^t$, replace $t$ with $t-4$ in $r(t)$.
Step2: Write the expression for $s(t)$
$s(t) = r(t-4) = e^{(t-4)}$
Answer:
A) $s(t) = e^{(t - 4)}$