SOLUTION: Here is my question, how do I write an equation for a parabola with vertex (-4, -6) and y-intercept 2? Thank you.

Algebra ->  Rational-functions -> SOLUTION: Here is my question, how do I write an equation for a parabola with vertex (-4, -6) and y-intercept 2? Thank you.      Log On


   

Question 998910: Here is my question, how do I write an equation for a parabola with vertex (-4, -6) and y-intercept 2?
Thank you.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the vertex form.
y=a%28x-h%29%5E2%2Bk
y=a%28x-%28-4%29%29%5E2%2B%28-6%29
y=a%28x%2B4%29%5E2-6
Now use the y-intercept to solve for a.
2=a%280%2B4%29%5E2-6
8=a%2816%29
a=8%2F16
a=1%2F2
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highlight_green%28y=%28x%2B4%29%5E2%2F2-6%29
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