Enter [math]y=x^2[/math] in the input line. In the next input line, enter [math]y=x^2+4[/math]. How did the graph change compared to [math]y=x^2[/math]?
The graph shifted 4 units up.
In the next input line, enter [math]y=x^2-1[/math]. How did the graph change compared to [math]y=x^2[/math]?
The graph shifted 1 unit down.
In the next input line, enter [math]y=x^2-7[/math]. How did the graph change compared to [math]y=x^2[/math]?
The graph shifted 7 units down.
In the next input line, enter [math]y=x^2+9[/math]. How did the graph change compared to [math]y=x^2[/math]?
The graph shifted 9 units up.
Consider [math]y=\left(x-3\right)^2+1[/math]. How would you expect the graph change compared to [math]y=x^2[/math]? Now enter it and see!