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The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). which represents g(x)? g(x) = (x 9)2 4 g(x) = (x 9)2 − 4 g(x) = (x − 4)2 9 g(x) = (x 4)2 9

Respuesta :

A function assigns values of one set to another. The function that will represent g(x) is g(x)=(x-4)²+9.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

As it is given to us that we need to move the graph of the function 9 units up and 4 units towards the right. Therefore, the function that will represent the new location of the graph can be written as,

[tex]g(x) = (x-4)^2+9[/tex]

Hence, the function that will represent g(x) is g(x)=(x-4)²+9.

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Answer:

Option C. g(x) = (x - 4)² + 9

Step-by-step explanation:

The given function is f(x) = x². Following transformations have been done to get the new function as followed

for 9 units up

The parent function f(x) will become as g(x) = x² + 9

then 4 units shifted to the right

Then the new function becomes g(x) = (x - 4)² + 9

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