I chose to do this because it looks like it will be important to be able to visualize how a graph will look based off its equation.

A translation is when the graph moves from its parent function, y=x^2.

There are horizontal and vertical translations.

The horizontal translation is indicated in squared brackets with x, and the vertical translation is by itself like a constant. Let’s look at some examples.

We can see that the 11 is in brackets with x and is getting squared. You might assume that since its +11 that means 11 units right, but its 11 units left. The transformation shifts the graph to the left because it’s the coordinate axes that move to the right, making the graph appear leftward.

This case is simpler. The graph will simply shift up by 11 units since it is just being added to x squared.