Explorations of Parabolas
By: Ginger Rhodes
We will investigate the effect varying d has on the graph of .
Lets begin by looking at the graph when
d = 0.
Notice the vertex of the graph is at the point (0,-2).
Now, lets take a look at the graph when
d = 1.
Notice the vertex of the graph is at the point (1, -2).
It seems like the value of d is the x-coordinate of the vertex. Lets look at several more cases to check our conjecture.
By looking at these graphs I can see that the position of the graph changes when d changes, but the shape and size stays the same. From the graph I see that the x value of the vertex is the value of d.