LaylianaV467891 LaylianaV467891
  • 25-10-2022
  • Mathematics
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the graph of F(x) = |x| is shown below. if you horizontally shift this function right 7 units, what is the equation of the new function?

the graph of Fx x is shown below if you horizontally shift this function right 7 units what is the equation of the new function class=

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BrayaN128895 BrayaN128895
  • 25-10-2022

ANSWER:

C. G(x) = |x - 7|

STEP-BY-STEP EXPLANATION:

An absolute value function has the following form:

[tex]y=|x-a|+b[/tex]

Where (a, b) is the origin, if we want to move 7 units to the right, we must add 7 units on the x-axis, that is, in a, therefore, the function would be:

[tex]\begin{gathered} G\left(x\right)=\left|x-+7\right| \\ \\ G(x)=\lvert x-7\rvert \end{gathered}[/tex]

So the correct answer is C. G(x) = |x - 7|

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