SOLUTION: Determine the quadratic function f whose graph is given.   The vertex is left parenthesis 4 comma negative 1 right parenthesis(4,−1) and the other given point i

Algebra ->  Graphs -> SOLUTION: Determine the quadratic function f whose graph is given.   The vertex is left parenthesis 4 comma negative 1 right parenthesis(4,−1) and the other given point i      Log On


   

Question 1053792: Determine the quadratic function f whose graph is given.  
The vertex is left parenthesis 4 comma negative 1 right parenthesis(4,−1) and the other given point is left parenthesis 3 comma 1 right parenthesis .(3,1).
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Start with standard form, ... and use (3,1) to find the lead coefficient.

y=a%28x-4%29%5E2-1
Now find a....

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Determine the quadratic function f whose graph is given.  
The vertex is left parenthesis 4 comma negative 1 right parenthesis(4,−1) and the other given point is left parenthesis 3 comma 1 right parenthesis .(3,1).
Vertex form of a parabolic equation: y+=+a%28x+-+h%29%5E2+%2B+k

1+=+a%283+-+4%29%5E2+%2B+-+1 ------- Substituting (4, - 1) for (h, k), and (3, 1) for (x, y)

1+=+a%28-+1%29%5E2+-+1

1 = a - 1

2 = a

Quadratic function: highlight_green%28f%28x%29+=+2%28x+-+4%29%5E2+-+1%29