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