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The speedometer in Henry's car is broken. The function y = |x - 8| represents the difference y between the car's actual speed x and the displayed speed. a) Describe the translation. Then graph the function.

The Speedometer In Henrys Car Is Broken The Function Y X 8 Represents The Difference Y Between The Cars Actual Speed X And The Displayed Speed A Describe The Tr class=

Answer :

In general, given a function f(x), a horizontal translation by b units is expressed by the transformation below

[tex]\begin{gathered} f(x)\rightarrow f(x-b) \\ b>0\rightarrow\text{ b units to the right} \\ b<0\rightarrow\text{ b units to the left} \end{gathered}[/tex]

Then, in our case, y is a translation of |x| 8 units to the right.

The graph of the function is

View image KaelenG674741

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