Question

What does the graph of f(x) = 3x^2 – 2x + 1 look like?

Answer 1

If you're using only algebra, I'd suggest you find the equation of the axis of symmetry first:
x=-b/a. This is also the x-coordinate of the vertex of this parabola. Find the y-coordinate. Start graphing. Will the graph open up or open down? Why? How could you find additional points on the graph?

Answer 2

Remember that the first coefficient is the vertical stretch.

Answer 3

Good point, Ninja-Lobster!