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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

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