SOLUTION: Determine the quadratic function f whose graph is given. The vertex is (4,-3) and the other point is (3,-1) f(x)=a(x-h)^2+k write answer in form: ax^2+bx+c Answer= 2x^2-16x+29

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Determine the quadratic function f whose graph is given. The vertex is (4,-3) and the other point is (3,-1) f(x)=a(x-h)^2+k write answer in form: ax^2+bx+c Answer= 2x^2-16x+29       Log On


   

Question 868294: Determine the quadratic function f whose graph is given.
The vertex is (4,-3) and the other point is (3,-1)
f(x)=a(x-h)^2+k
write answer in form: ax^2+bx+c
Answer= 2x^2-16x+29
Can someone break this down for me, especially how to get the 29.
Thank you.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

f(x)=a(x-h)^2+k   V(4,-3)

f(x) = a(x-4)^2 -3   Using (3,-1) to solve for a

-1 = a - 3

2 = a

f(x) = 2(x-4)^2 -3 

     = 2(x^2 - 8x + 16) - 3 

     = 2x^2 - 16x + 32 - 3

f(x) = 2x^2 - 16x + 29