Question

Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.

Answer 1

The function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| is; g(x) = x + 8

How to solve transformation problems?

Transformations are used to change the position of a function from one point to another.

Now, we are given the function as;

f(x) = -3 + |x - 11|

To reflect the function above across the y-axis, we will make use of the following transformation rule: (x, y) → (-x, y)

Thus, since we are given f(x) = -3 + |x - 11|, applying the transformation rule above gives us;

f(-x) = -3 + |-1(x - 11)|

Removing the absolute sign gives us;

f(-x) = -3 + x + 11

f(-x) = x + 8

Thus, the function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| is; g(x) = x + 8

Read more about Transformations at; brainly.com/question/4289712

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