QuestionChapter 3 Test: No Calculator
1. Graph the following functions by describing their transformations from the parent function, as well as critical points and asymptotes. a) $f(x)=-2+\ln (x+3)$
Transformations: $\qquad$ $\qquad$ $\qquad$ $*$ b) $g(x)=4-e^{(x-2)}$
Transformations: $\qquad$ $\qquad$ $\qquad$

Studdy Solution
We've graphed both functions by identifying their transformations from their parent functions and finding key points and asymptotes. $f(x)$ is a logarithmic graph shifted **3 units left** and **2 units down**, with a vertical asymptote at $x=-3$. $g(x)$ is an exponential graph shifted **2 units right**, reflected across the *x*-axis, and shifted **4 units up**, with a horizontal asymptote at $y=4$.