The speedometer in Henry's car is broken. The function y = |x - 8| represents the difference y between the car's actual speed x

Question

1 year ago

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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.

b) Interpret the function and the translation in terms of the context of the situation.

Mathematics

1 answer:

Alekssandra [29.7K] · Answer 1 · 2024-02-18T04:29:40+03:00

The interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8

<h3>How to describe the translation. </h3>

The function is given as:

y = |x - 8|

The above function is an absolute function.

And the parent function of an absolute function is

y = |x|

When a function is translated right by h units, the new function is y = |x - h|

This means that the translation is a translation to the right by 8 units

See attachment for the graph the function.

<h3>Interpret the function and the translation in terms of the context of the situation.</h3>

The function is given as:

y = |x - 8|

This represents the difference y between the car's actual speed x and the displayed speed.

So, the interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8