Sketch the graph of each function y=3x^2

Answer 1

y =3x^2 is an upward opening standard parabola, with vertex and minimum point at the origin (0,0)

It's y=x^2 stretched vertically by a factor of 3

Answer 2

Minimum value at x = 0, and there y = 0.

Parabola opens up because the coefficient in front of x^2 is positive. Pick a couple x values, calculate the y's, plot them, and you'll get a good idea of the shape. Verify at https://www.desmos.com/calculator