Input [math]y=x^2[/math]. In the next input line, enter [math]y=3x^2[/math]. In the next input line, enter [math]y=5x^2[/math]. How did the two graphs change compared to [math]y=x^2[/math]?
Erase all inputs except [math]y=x^2[/math]. In the next input line, enter [math]y=0.75x^2[/math]. In the next input line, enter [math]y=0.3x^2[/math]. How did the two graphs change compared to [math]y=x^2[/math]?
Erase all inputs except [math]y=x^2[/math]. In the next input line, enter [math]y=-x^2[/math]. How did the graph change compared to [math]y=x^2[/math]?
The graph reflected downward.
Consider [math]y=-0.45\left(x+6\right)^2+7[/math]. How would you expect the graph change compared to [math]y=x^2[/math]? Now enter it and see!
The graph will open downward and be wider. It will also shift 6 units left and up 7 units.