SOLUTION: how do you determine the quadratic function f whose graph is given the vertex is (2,-3)and the other given point is (3,-1)

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Question 885573: how do you determine the quadratic function f whose graph is given the vertex is (2,-3)and the other given point is (3,-1)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=a%28x-h%29%5E2%2Bk
Your h and k are 2 and -3.
y=a%28x-2%29%5E2-3

You have a point which must satisfy the equation. You do not yet know "a" factor. Solve the equation for "a", and substitute x=3 and y=-1; and evaluate "a".

Put the known and found values into the equation, and rename y as f(x). Remember, keep the variable x in the function definition, AS A VARIABLE.