Question

The graph of y=f(x) is reflected across the y-axis and then translated one unit right. Which equation shows the transformed function h(x)?

Answer 1

Using translation concepts, the equation for the transformed function h(x) is given by:

h(x) = f(-x - 1).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the effect of the two changes is given as follows:

• Reflection over the y-axis, hence h(x) = f(-x).

• Translation of one unit right, that is, x -> x - 1, hence h(x) = f(-x - 1).

More can be learned about translation concepts at brainly.com/question/28373831

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