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
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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.