Hilto8ri9kaarincole
Answered

The graphs of f(x) and g(x) are shown below:


graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 5, 0


If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?


g(x) = (x + 5^)2


g(x) = (x − 5)^2


g(x) = (x − 9)^2


g(x) = (x + 9)^2

Verified Answer :

cerverusdante

Answer

g(x) = (x + 5^)2

Explanation

Remember that:

- The translation \(f(x+b)\) shifts the function \(b\) units to the left

- The translation \(f(x-b)\) shifts the function \(b\) units to the right

We can infer from our vertices, that the vertex of g(x) is the vertex of f(x) shifted 2 units to the right. Since \(f(x-b)\) shifts the function \(b\) units to the right, we just need to subtract 2 units from f(x) = (x + 7)^2 to find g(x):

\(g(x)=(x+7-2)^2\)

\(g(x)=(x+5)^2\)

View image cerverusdante
kaleag1205

Answer:

The answer is B.

Step-by-step explanation:

I took the test

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