SOLUTION: find the y-intercept of a parabola whose vertex is (-1,2), which is turned downward, and whose width is the same as y=2x^2

Question 231249: find the y-intercept of a parabola whose vertex is (-1,2), which is turned downward, and whose width is the same as y=2x^2
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
We need to come up with the equation of the parabola.
The general equation is:

The vertex is (p,q). So in our case, p=-1 and q=2.
The amplitude is a. In our case, it is turned downward, which makes it negative. It has the same width was y=2x^2, so our amplitude is a=-2.
Putting it all together:

To find the y-intercept, substitute x=0 and solve for y:

The y-intercept is 0.
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