Graphs in the xb Plane

by Molly McKee

A Parabola is locus of points in a plane which are equidistant from a given point and a given line.

Recall the graph where b fluctuated from -5 to 5

a fluctuating between -5 and 5

b = 1

c = 1

a =1

b fluctuating between -5 and 5

c = 1

a = 1

b = 1

c fluctuating between -5 and 5

Consider the equation

ax2 + bx + c = 0

and investigate several graphs of

y = ax2 + bx + c

with varying a, b, or c as the other two are held constant.