Mathematical Procedure

Vertex form equation:

Vertex: (4,-2)

Extra point: (0,-1)

To find a

-1= a( 0 - 4 ) -2

-1= a( - 4 ) -2

-1 = a (16) -2

-1 = 16a -2

-1 +2 =16a

1 = 16a

1/16 = a

2

Transform vertex form into standard form:

y = 1/16 ( x -4 ) - 2

y = 1/16 ( x - 4 ) ( x - 4 ) -2

y = 1/16 ( x - 8x + 16 ) - 2

y = 1/16 x - 8/16 x - 2 + 1

y = 1/16 x - 8/16 x - 1

2

Important data:

h = x coordinate of the vertex

k = y coordinate of the vertex

a = determines the direction of the parabola. If a is negative the parabola starts opening down. Finally, if a is positive the parabola starts opening upwards.