Question

The function g is related to one of the parent functions g(x) = x2 – 3 The parent function is: f(x)= x^2 Use function notation to write g in terms of f.

Answer 1

g(x) is a translation of f(x), we have:

g(x) = f(x) - 3

How to write g(x) in terms of f(x)?

We have the two functions:

$g(x) = x^2 - 3\\\\f(x) = x^2$

We can see that g(x) is just a translation of 3 units downwards of f(x), to write g(x) in terms of f(x) we can just replace the first term by f(x):

$g(x) = x^2 - 3 = f(x) - 3$

So we have:

g(x) = f(x) - 3

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1