SOLUTION: Create the quadratic equation in the form y=ax^2+bx+c using the point (0,4)as one point and the point (4,-5) as the vertex. Enter the a,b,c values as common factors in reduced for

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Create the quadratic equation in the form y=ax^2+bx+c using the point (0,4)as one point and the point (4,-5) as the vertex. Enter the a,b,c values as common factors in reduced for      Log On


   

Question 362938: Create the quadratic equation in the form y=ax^2+bx+c using the point (0,4)as one point and the point (4,-5) as the vertex. Enter the a,b,c values as common factors in reduced form.
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 where (h,k) is the vertex.
y=a%28x-4%29%5E2-5
Now use the point (0,4) to solve for a.
4=a%280-4%29%5E2-5
16a=9
a=9%2F16
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y=%289%2F16%29%28x-4%29%5E2-5
y=%289%2F16%29%28x%5E2-8x%2B16%29-5
y=%289%2F16%29x%5E2-%289%2F8%29x%2B9-5
highlight%28y=%289%2F16%29x%5E2-%289%2F8%29x%2B4%29