Question

Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?

Answer 1

Using translation concepts, it is found that the correct option regarding the function is:

The function h(x) is decreasing on the interval (3, ∞).

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 given by:

$f(x) = \sqrt{x}$

Which increases on (0, ∞).

The translated function is given by:

$g(x) = -2\sqrt{x - 3}$

With the translation, the domain is now (-3, ∞), and the function is decreasing, hence the correct option is given by:

The function h(x) is decreasing on the interval (3, ∞).

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

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