# How the does graph of #y=-2x^2# differ from #y=-2x^2 -2#?

##### 2 Answers

The graph of

Graphically, it looks like this:

This is the graph of

Now, the graph of

As a general rule for transformations, if you have something being added *externally* to an equation (like the minus 2 we had), the graph will be shifted vertically. If you are subtracting, you move DOWN by that amount of units. If you are adding, you move UP by that amount of units.

However, if you have something being added to the *variable*, then you shift the graph horizontally (For example,

Asnwer: The graph of

When graphing an equation, adding or subtracting a fixed number will move the graph up or down.

In this case, the difference between the two equations is just

This is the graph of

This is the graph of