SOLUTION: determine the quadratic function F vertex is (1, -1) given point is (3, 7) type answer in the form f(x)=ax^2+bx+c) f(x)=

Algebra ->  Graphs -> SOLUTION: determine the quadratic function F vertex is (1, -1) given point is (3, 7) type answer in the form f(x)=ax^2+bx+c) f(x)=      Log On


   

Question 885280: determine the quadratic function F
vertex is (1, -1)
given point is (3, 7)
type answer in the form f(x)=ax^2+bx+c)
f(x)=
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Starting in standard form might be easier.

y=a%28x-h%29%5E2%2Bk, instructive model for standard form
y=a%28x-1%29%5E2-1, more specific equation but without yet knowing a=whatStillUnknown
7=a%283-1%29%5E2-1, allowing to find a solution for a.

7=a2%5E2-1
7=4a-1
4a=7%2B1
4a=8
a=2
-
The function still in standard form is highlight%28f%28x%29=2%28x-1%29%5E2-1%29.
You can simplify into general form if that is what you want.