Question

Which graph is an example of a function whose parent function is y=sqrt x?

Answer 1

See in the explanation

Explanation:

Hello! Recall that you have to post complete questions in order to get excellent and correct answers. Since you have missing graphs, I can't say what is the correct option. However, I'll try to help you about the concept of parent functions.

A parent function is the most basic function that shares the same characteristics with other complicated functions. One of the parent function in mathematics is the Square Root Function written as:

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

This parent function is shown in the First Figure below. As you can see:

• The domain is the set of all real numbers greater (or equal) than zero
• The range is the set of all real numbers greater (or equal) than zero

An example of a function whose parent function is $f(x)=\sqrt{x}$ is the same function translated three units to the left. In a mathematical language:

$g(x)=\sqrt{x+3}$

This graph is shown in the second figure. As you can see, these two graph share the same characteristics. The only difference is a translation performed on the second one. For the second graph, we have:

• The domain is the set of all real numbers greater (or equal) than -3
• The range is the set of all real numbers greater (or equal) than zero

Learn more:

Other parent functions: brainly.com/question/1131412

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