SOLUTION: Find the quadratic function f whose points on a graph are the vertex, which is (5,-4) and a second point that the parabola passes through is (7,-12). f(x)= ? How do I find

Algebra ->  Rational-functions -> SOLUTION: Find the quadratic function f whose points on a graph are the vertex, which is (5,-4) and a second point that the parabola passes through is (7,-12). f(x)= ? How do I find       Log On


   



Question 406313: Find the quadratic function f whose points on a graph are the vertex, which is (5,-4) and a second point that the parabola passes through is (7,-12).
f(x)= ?
How do I find the quadratic function?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the quadratic function f whose points on a graph are the vertex, which is (5,-4) and a second point that the parabola passes through is (7,-12).
f(x)= ?
How do I find the quadratic function?
------
Use the vertex form:
y = a(x-h)^2+k
---
-12 = a(7-5)^2-4
----
-12 = a(4)-4
4a = -8
a = -2
---
Equation:
y = -2(x-5)^2-4
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Cheers,
Stan H.
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