**Assignment 2**

Second Degree Equations

by Dorothy Evans

Let’s examine the equation _{}

on the same axis using different values for d.

First let’s examine the parent function.

Notice the vertex lies on the origin (0, 0)

Now let’s see what the graph looks like when d from
our original equation is 0.

What do you notice about the graph of the equation
compared to the parent graph?

Q: Did every point on the graph move or did the graph
stretch down?

You should notice the vertex of the parent graph has
moved down 2 to the point (0,-2).

Now let’s see what happens when we make d = 2

What happened in the new graph (purple)?

The graph moved right 2

So what do you think will happen if d = 6?

That’s right the vertex moved right 6 spaces to (-2,
6)

What would happen if we made d = -4?

Can you guess?

Scroll down to see

**Conclusion**

Can you make any conjectures
from this demonstration about how a change in d in the equation _{} affects the graph?

What would you
conjecture? Test your hypothesis on
another graph such as _{}