Question

Consider the function f(x)=|x+3|−5 and its graph, which follows.

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$f\left(x\right)=\left|x+3\right|-5$

Obtain the function g(x)

$g(x)=-\frac{1}{5} f(x)$

substitute

$g(x)=-\frac{1}{5} [\left|x+3\right|-5]$

$g(x)=-\frac{1}{5}\left|x+3\right|+1$

using a graphing tool

The graph in the attached figure

The vertex is the point (-3,1)

The x-intercepts are the points (-8,0) and (2,0)

The y-intercept is the point (0,0.4)