Question

Write a function g whose graph represents a horizontal stretch by a factor of 4 followed by a reflection in the y-axis of the graph of f(x)=|x|.

Answer 1

The function is 4|x-4|.

It is required to find the  function g.

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The original function is:

f(x)=|x|

Translation 4 units to the right we get,

f(x-4)=|x-4|

Horizontal stretch by a factor of 4

Multiplying by 4, so:

g(x)=4f(x-4)=4|x-4|

Therefore, the function is 4|x-4|.

Learn more details about function here:

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