Question 1113423: Find the formula for the quadratic function whose graph has a vertex of (1,2) and passes through the point (-1,-6) where a is unknown.
Use the coordinates of the second point to solve for the leading coefficient a
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source):
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! Find the formula for the quadratic function whose graph has a vertex of (1,2) and passes through the point (-1,-6) where a is unknown.
Use the coordinates of the second point to solve for the leading coefficient a
Substitute ALL 4 values into the vertex form of a quadratic function:  ======>  .
That is, substitute (1, 2) for (h, k), and (- 1, - 6) for (x, y). You will then get the value of the 5th variable, "a."
Then substitute 3 values: (1, 2) for (h, k), and value of "a" into the vertex form of a quadratic function, or .
That's your quadratic function!
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