### Home > CCA2 > Chapter 5 > Lesson 5.2.5 > Problem 5-118

5-118.

Sketch the graph of *y* = 3log(*x* + 4) − 1. 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.

Finally, shift the curve down 1 unit.