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If the parent function f(x)=\root(3)(x) is transformed to g(x)=\root(3)(x+2-4), which is the graph of g(x)?
(Photos of graphs included)
(15 points)

If the parent function fxroot3x is transformed to gxroot3x24 which is the graph of gxPhotos of graphs included 15 points class=
If the parent function fxroot3x is transformed to gxroot3x24 which is the graph of gxPhotos of graphs included 15 points class=
If the parent function fxroot3x is transformed to gxroot3x24 which is the graph of gxPhotos of graphs included 15 points class=
If the parent function fxroot3x is transformed to gxroot3x24 which is the graph of gxPhotos of graphs included 15 points class=

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kudzordzifrancis

ANSWER

A.

EXPLANATION

The parent function is

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

This function is transformed to obtain

[tex]g(x) = \sqrt[3]{x + 2} - 4[/tex]

The +2 is a horizontal translation, that shifts the graph of the parent function to the left by 2 units.

The -4 is a vertical translation, that shifts the graph of the parent function down by 4 units.

The correct option is A.

dasolanog

Answer:

A)

Step-by-step explanation:

First we will graph th parent function which is a cube root and we can see it in the attachment #1.

In this excercise there are two types of transformations of the parent function:

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

First:

[tex]f(x+b)[/tex] shifts the function b units to the left.(Attachment #2 )

[tex]f(x)=\sqrt[3]{x+2}[/tex]

[tex]b=2[/tex]

Second:

[tex]f(x)-c[/tex] shifts the function c units downward. (Attachment #3)

[tex]f(x)=\sqrt[3]{x+2}+4[/tex]

[tex]c=4[/tex]

Ver imagen dasolanog
Ver imagen dasolanog
Ver imagen dasolanog

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