### Home > INT3 > Chapter 5 > Lesson 5.2.4 > Problem5-90

5-90.

Sketch a graph of $y=3\log(x+4)$. Homework Help ✎

First sketch the parent graph $y=\log(x)$.
Two points on this curve are $(1,0)$ and $(10,1)$.
There is a vertical asymptote of $x=0$.

Use the Order of Operations when transforming functions.
Begin by shifting the curve left 4 units.
The two points are now $(−3,0)$ and $(7,1)$. The vertical asymptote is $x=−4$.

Next, apply the vertical stretch factor of $3$.
This means $(−3,0)$ remains in place, but $(7,1)$ becomes $(7,3)$.
The vertical asymptote is still $x=−4$.