Question

The function g is related to one of the parent functions g(x) = x^2 + 6 The parent function f is: f(x)= x^2 Use function notation to write g in terms of f.

Answer 1

Solution:

Given parent functions $g(x)=x^2+6;$ and $f(x)=x^2;$

So, variable part of $g(x)$ function is equal to $f(x)$ function. They are parent functions, that's why we can write $g(x)=f(x)+6;$

For example: $x=2; f(2) =2^2=4;$ So, $g(2)=x^2+6=10;$

So, $g=f(2)+6=4+6=10;$

Answer:

$g=f(x)+6.$