We are given the following function and want to find the y-intercept:
[tex]f(x)=2(x-7)^2-32[/tex]
Just substitute the value x=0 into the equation to find the value of the y-intercept:
[tex]y=2(0-7)^2-32[/tex]
Simplify
[tex]=2(49)-32[/tex]
Simplify again
[tex]=66[/tex]
Since the value of f(x), or y, when x=0 is 66, the y-intercept of this function is 66.
Let me know if you need any clarifications, thanks!
~ Padoru
