Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Ask your questions and receive precise answers from experienced professionals across different disciplines. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

If a square root parent function is vertically stretched by a factor of 6, what isthe equation of the new function, G(x)?A. G(x) = 65B. G(x) =-6/C. G(x) = V6xO D. G(x) == VE=

If A Square Root Parent Function Is Vertically Stretched By A Factor Of 6 What Isthe Equation Of The New Function GxA Gx 65B Gx 6C Gx V6xO D Gx VE class=

Sagot :

Solution:

When a function f(x) is stretched vertically by a factor of an integer n, it implies that the new function g(x) is n times its old function.

Thus,

[tex]g(x)=n\times f(x)[/tex]

Given a square root function, we have

[tex]f(x)=\sqrt[]{x}[/tex]

When the function is stretched by a factor of 6, let the new function be represented as G(x). This implies that

[tex]\begin{gathered} G(x)=6\times f(x) \\ =6\times\sqrt[]{x} \\ \Rightarrow G(x)=6\sqrt[]{x} \end{gathered}[/tex]

Hence, the new function G(x) will be expressed as

[tex]G(x)=6\sqrt[]{x}[/tex]

The correct option is A.

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.