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The graph of h(x) is a translation of f (x) = RootIndex 3 StartRoot x EndRoot.

On a coordinate plane, a cube root function goes through (negative 3, negative 1), has an inflection point at (negative 2, 0), and goes through (negative 1, 1).

Which equation represents h(x)?

h (x) = RootIndex 3 StartRoot x minus 2 EndRoot
h (x) = RootIndex 3 StartRoot x + 2 EndRoot
h (x) = RootIndex 3 StartRoot x EndRoot minus 2
h (x) = RootIndex 3 StartRoot x EndRoot + 2

Sagot :

Transformation involves changing the form of a function. The function that represents is C; [tex]g(x) =- \sqrt[3]{x+1}[/tex]

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Function f(x) is given byy;

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

f(x) is reflected across the x-axis.

The rule of this transformation (i.e. reflection) is:

(x, y) ⇒ (x, - y)

So,

[tex]f'(x) = -f(x)[/tex]

This gives

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

Now, f'(x) is translated 1 unit left

The rule of this transformation (i.e. translation) is:

(x, y) ⇒ (x+ 1, y)

So,

g(x) = f'(x+ 1)

This gives

[tex]g(x) = -\sqrt[3]{x+1}[/tex]

Hence, the function that represents g(x) is (c)

Learn more about function here:

https://brainly.com/question/2253924

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