Question

The graph of f x shown below resembles the graph of g =x2 but it has been stretched somewhat and shifted which of the following could be the equation of f
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Answer 1

The graph of the function g(x) is a quadratic equation

The possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

How to determine the possible equation of f(x)?

From the question, we have:

g(x) = x^2 --- the equation of the graph

The function f(x) is in the first quadrant.

This means that the function g(x) is shifted right and up.

This is represented as:

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

When stretched, the function becomes

f(x) = a(x - h)^2 + k

Where:

a > 0

From the list of given options;

The equation that has the form f(x) = a(x - h)^2 + k is

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

Hence, the possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

Read more about function transformation at:

brainly.com/question/17586310