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Describe how the graphs of y=|x| and y=|x| -15 are related.

Sagot :

Konrad509idn
The graph of the second function is moved 15 units down along the y-axis in relation to the graph of the first function.
Calculistaidn

Answer:

The translation of the function f(x) to obtain the function g(x) is [tex]15[/tex] units down

Step-by-step explanation:

Let

[tex]f(x)=\left|x\right|[/tex]

The vertex of the function f(x) is the point [tex](0,0)[/tex]

Let

[tex]g(x)=\left|x\right|-15[/tex]

The vertex of the function g(x) is the point [tex](0,-15)[/tex]

The rule of the translation of f(x) to g(x) is equal to

[tex](x,y)------> (x,y-15)[/tex]

That means------> The translation is [tex]15[/tex] units down

see the attached figure to better understand the problem


View image Calculista
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