SOLUTION: Write the equation of the quadratic function with roots -2 and 4 and a vertex at (1, 9). Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2).

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write the equation of the quadratic function with roots -2 and 4 and a vertex at (1, 9). Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2).      Log On


   

Question 1018089: Write the equation of the quadratic function with roots -2 and 4 and a vertex at (1, 9).
Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the general vertex form,
y=a%28x-r%5B1%5D%29%28x-r%5B2%5D%29
y=a%28x-%28-2%29%29%28x-4%29
y=a%28x%2B2%29%28x-4%29
Now use the point to solve for a.
9=a%281%2B2%29%281-4%29
9=a%283%29%28-3%29
9=-9a
a=-1
So,
y=-%28x%2B2%29%28x-4%29
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Do the second problem exactly the same way.