Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Which equation represents f(x)?

f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1
f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1
f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1


Sagot :

Function transformation involves changing the form of a function

The equation that represents the function f(x) is [tex]f(x) = \sqrt[3] {x + 6} + 1[/tex]

How to determine the equation

The parent cube root function is:

[tex]y = \sqrt[3] {x}[/tex]

When the function is translated 6 units left, the equation of the function becomes

[tex]y = \sqrt[3] {x + 6}[/tex]

Next, the function is translated 1 unit up.

So, the equation of the function becomes

[tex]y = \sqrt[3] {x + 6} + 1[/tex]

Express as a function

[tex]f(x) = \sqrt[3] {x + 6} + 1[/tex]

Hence, the equation that represents the function f(x) is [tex]f(x) = \sqrt[3] {x + 6} + 1[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.