Question

Graph each function.
13. y = 3x^3
14. y = -2x^2 + 1
15. y = 1/3x^3

Answer 1

13. Cubic

14. (Negative) Parabola

15. Cubic

Explanation:

Hello,

I assume you may be graphing by hand but some pictures would help.

13. 3x^3. This is a cubic function so its kind of like a sideways "S" the range and domain always being infinite unless restrictions are applied. Firstly since the "3x" is a whole number this means that the function shrinks vertically.

14. -2x^2+1. So first the vertical shift is up 1. The "-2" is important because this means that the parabola reflects over the y-axis. Then the "^2" indicates a parabola. Aswell this graph shrinks vertically as well.

15. y = 1/3x^3. This is a cubic as well (like explained earlier) and since the A value is a fraction this means that the function stretches vertically.

Hope this helps!