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Ilya [14]
3 years ago
9

Use the given parent function f(x)=|x| to graph g(x)=|x+2|-4. use the ray tool and select two points to graph each ray. ​

Mathematics
1 answer:
marin [14]3 years ago
8 0

Shown in the attached figure

<h2>Explanation:</h2>

The absolute value function is a function that takes the shape of a V. The pattern of the absolute value function is:

f(x)=\mid x \mid

So we need to use this function in order to obtain:

g(x)=\mid x+2 \mid -4

Recall that to translate a function vertically, we use the following rule:

g(x)=f(x)+k \\ \\ \bullet \ If \ k>0 \ the \ graph \ of \ f(x) \ is \ translated \ k \ units \ up \\ \\ \bullet \ If \ k

And to translate a function horizontally, we use the following rule:

g(x)=f(x+c) \\ \\ \bullet \ If \ c>0 \ the \ graph \ of \ f(x) \ is \ translated \ c \ units \ to \ the \ left \\ \\ \bullet \ If \ c

Since:

c=2>0 \  and \ k=-4

Then:

<em>g(x) is the translation of f(x) 2 units to the left and 4 units down</em>

<em />

<h2>Learn more:</h2>

Transformations in real-world problems: brainly.com/question/1033817

#LearnWithBrainly

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