Question

What is the y-intercept of this function? f(x) = 2(x - 7)2 – 32

Answer 1

We are given the following function and want to find the y-intercept:

$f(x)=2(x-7)^2-32$

Just substitute the value x=0 into the equation to find the value of the y-intercept:

$y=2(0-7)^2-32$

Simplify

$=2(49)-32$

Simplify again

$=66$

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