SOLUTION: list an equation that models the following characteristics graph is a parabola that opens down vertex is located at (0,84) graph is wider that the graph of y=x^2

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: list an equation that models the following characteristics graph is a parabola that opens down vertex is located at (0,84) graph is wider that the graph of y=x^2      Log On


   

Question 353349: list an equation that models the following characteristics
graph is a parabola that opens down
vertex is located at (0,84)
graph is wider that the graph of y=x^2
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the vertex form, y=a%28x-h%29%5E2%2Bk, where (h,k) is the vertex.
The value of a determines the direction of opening and also the width of the parabola.
When a%3C0 then the parabola opens downwards.
When abs%28a%29%3C1, then the parabola is wider than y=x%5E2.
Let a=-1%2F2
Then
y=-%281%2F2%29%28x-0%29%5E2%2B84
highlight%28y=-x%5E2%2F2%2B84%29
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Here is the graph of the function (in red) with y=-x%5E2%2B84 (in green) graphed for reference.
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