Answer :
Answer: g(x) = 1/2x^2+8
The original +4 is along the y-axis (y-intercept) so you add the 4 onto it since the y-axis is vertically calculated, unlike x that is a horizontal line.
The original +4 is along the y-axis (y-intercept) so you add the 4 onto it since the y-axis is vertically calculated, unlike x that is a horizontal line.
Answer:
[tex]g(x)=2x^2+16[/tex]
Step-by-step explanation:
We are given the function [tex]f(x)=\frac{1}{2}x^2+4[/tex].
The function f(x) is vertically stretched by a factor of 4.
Vertical stretch by factor 'k' changes the function f(x) to [tex]kf(x)[/tex].
So, we get,
[tex]g(x)=4f(x)\\\\g(x)=4(\frac{1}{2}x^2+4)\\\\g(x)=2x^2+16[/tex]
Thus, the equation of g(x) is [tex]g(x)=2x^2+16[/tex].