# Graphs of Functions y=ax^2,y=ax^3

Graph of the function y=x^2 is parabola. To draw graph of the function y=ax^2 we need to stretch (compress) parabola y=ax^2 from x-axis with coeffcient |a|; if a<0, then we addtionally need to reflect graph of the function y=|a|x^2 about x-axis.

On the figure to the left you can see graphs of the functions y=ax^2 for a=1;-1;3;-0.5. All these graphs are called parabolas. When a>0 parabola is open upward, when a<0 parabola is open downward.

In a similar manner we can draw graph of the function y=ax^3, knowing graph of the function y=x^3. On the figure to the left you can see graphs of the function y=ax^3 for a=1;-1;3.