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:
https://brainly.com/question/17586310
