Question

Parent function Y equals 0.5 square root X is.. -increasing -decreasing -constant

Answer 1

Using translation concepts, it is found that:

• The parent function y = $0.5^x$ is decreasing across it's domain because it's base, b, is such that 0 < |b| < 1.

• The function f shifts the parent function 8 units up.

• The function f shifts the parent function 5 units right.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

$y = 0.5^x$

It has a base with absolute value between 0 and 1, hence it is decreasing.

The changes to the function are given as follows:

• y -> y + 8, hence the function was shifted 8 units up.

• x -> x - 5, hence the function was shifted 5 units right.

More can be learned about translation concepts at brainly.com/question/4521517

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