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Helga [31]
3 years ago
13

Which describes how to graph g (x) = RootIndex 3 StartRoot x minus 5 EndRoot + 7 by transforming the parent function?

Mathematics
1 answer:
ratelena [41]3 years ago
4 0

Answer:

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

Step-by-step explanation:

Hello!

Considering the parent function, as the most simple function that preserves the definition. Let's take the function given:

g(x) = \sqrt[3]{x-5}+7

To have the the parent function, we must find the parent one, let's call it by f(x).

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

This function satisfies the Domain of the given one, because the Domain is still (-\infty, \infty) and the range as well.

Check below a graphical approach of those. The upper one is g(x) and the lower f(x), its parent one.

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Step-by-step explanation:

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We can group the first two terms and the last two terms.

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Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.

In the second step, we can see that we can rewrite x^3 + x^2 as x^2(x + 1), as both the two terms share a common factor of x^2. We can pull out x^2 from that expression. Similarly, 3x and 3 share a common factor of 3, so we can pull that out.

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Step-by-step explanation:

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