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balu736 [363]
3 years ago
5

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

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

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)

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