SOLUTION: A parabola has the following characteristics: zeros = 10,30 axis - x = 20 vertex - (20, -10) y-intercept = 30 The equation for the factored form quadratic relation is y = a(x-

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Question 377684: A parabola has the following characteristics:
zeros = 10,30
axis - x = 20
vertex - (20, -10)
y-intercept = 30
The equation for the factored form quadratic relation is y = a(x-r)(x-s)
What is the equation? Please explain thoroughly.
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
y=a%28x-20%29%5E2-10
Then when x=0, y=30
30=a%280-20%29%5E2-10
30=400a-10
40=400a
a=1%2F10
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highlight%28y=%281%2F10%29%28x-20%29%5E2-10%29