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

Transformations are used to change the position of a function from one point to another. When f(x) is reflected over the y-axis, the new function g is

Given that:

To reflect across the y-axis, we use the following transformation rule:

So, the new function is:

If , then:

Factor out -1

Remove absolute sign

Collect like terms

Hence, the new function is:

Read more about transformations at:

link

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step-by-step explanation:

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}