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The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15

Respuesta :

Answer:

a.

g(x) = (x – 2)2 + k  

Step-by-step explanation:

MrRoyal

The function that could be g(x) is (a) g(x) = (x - 2)^2 + k

How to determine the function?

The function f(x) is given as:

f(x) = (x + 3)^2 - 10

The axis of symmetry of g(x) is 5 units to the right of f(x).

This means that:

g(x) = f(x - 5)

So, we have:

f(x - 5) = (x - 5+ 3)^2 + k

Evaluate the difference

f(x - 5) = (x - 2)^2 + k

Substitute g(x) = f(x - 5)

g(x) = (x - 2)^2 + k

Hence, the function that could be g(x) is (a) g(x) = (x - 2)^2 + k

Read more about axis of symmetry at:

https://brainly.com/question/15709421

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