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The parent function f(x)=x3 and a translation, g(x), are shown on the graph. Which represents g(x), then the translated function?

The parent function fxx3 and a translation gx are shown on the graph Which represents gx then the translated function class=

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ANSWER

The correct answer is A

EXPLANATION

The parent function is

[tex]f(x) = {x}^{3} [/tex]

The function g(x) is obtained by shifting the graph of the parent function, 4 units left and 6 units up.

Therefore the transformation is of the form:

[tex]g(x) = f(x + 4) + 6[/tex]

Hence the transformed function has equation:

[tex]g(x) = {(x + 4)}^{3} + 6[/tex]

The correct answer is A

abidemiokin

The resulting function g(x) after the translation will be g(x) = (x+4)³ + 6

Translation of functions

Translation is a way of changing the position of an object on an xy plane. According to the graph shown, the parent function of the graph is f(x) = x^3.

The translates function shows an upward translation by 4 units and horizontal translation to the left by 6 units. The resulting function g(x) after the translation will be g(x) = (x+4)³ + 6

Learn more on translation here: https://brainly.com/question/12861087

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