SOLUTION: Write the equation of each quadratic relation in vertex form for a parabola that has a vertex of (1,1) and passes through the point (2, -1) and passes through the point.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write the equation of each quadratic relation in vertex form for a parabola that has a vertex of (1,1) and passes through the point (2, -1) and passes through the point.      Log On


   

Question 1181407: Write the equation of each quadratic relation in vertex form for a parabola that has a vertex of (1,1) and
passes through the point (2, -1) and passes through the point.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If using as y=a%28x-h%29%5E2%2Bk, then your given vertex gives a starting equation y=a%28x-1%29%5E2%2B1.

The included point which the parabola passes through means -1=a%282-1%29%5E2%2B1;
-1=a%281%29%5E2%2B1
-1=a%2B1
a=-2


Equation for the parabola:
highlight%28y=-2%28x-1%29%5E2%2B1%29