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(

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> 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(      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 377678: 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)
I got y = 3/10(x-10)(x-30) as an answer. Is this answer correct? If not, please explain why.

Found 2 solutions by Alan3354, Fombitz:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
That gives a vertex at (20,-30) and a y-intercept of 90.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
No, it's not correct.
When x=20,
y+=+%283%2F10%29%2820-10%29%2820-30%29
y=%283%2F10%29%2810%29%28-10%29
y=-30
and also,
When x=0,
y+=+%283%2F10%29%280-10%29%280-30%29
y=%283%2F10%29%28-10%29%28-30%29
y=90