SOLUTION: Use the table of values that represent points on the graph of a quadratic function. By determining the vertex and axis of symmetry, find the general form of the equation of the qua

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Use the table of values that represent points on the graph of a quadratic function. By determining the vertex and axis of symmetry, find the general form of the equation of the qua      Log On


   

Question 1071431: Use the table of values that represent points on the graph of a quadratic function. By determining the vertex and axis of symmetry, find the general form of the equation of the quadratic function. y=


x −2 −1 0 1 2
y 1 0 1 4 9



Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Do you see two x values which give the same y value? Look what is right in between. 

x	-2	-1	0	1	2

y	 1      0       1       4       9

Vertex should likely be (-1,0).
y=a%28x%2B1%29%5E2%2B0.

You can use either of two or three of the other points to help in finding the factor, "a". Try the point (1,4).

a%28x%2B1%29%5E2=y
a=y%2F%28x%2B1%29%5E2
a=4%2F%281%2B1%29%5E2
a=1

Equation simply highlight%28y=%28x%2B1%29%5E2%29