Question

What is the graph of a quadratic function?

Answer 1

A quadratic function is one of the form
`f(x) = ax2 + bx + c`,
where `a`, `b`, and `c` are numbers with `a` not equal to zero.

The graph of a quadratic function is a curve called a parabola. Parabolas will open upward if `a > 0`
or downward if `a<0`

Example: `y = 2x^2 - 3x -1`
`a = 2 (a>0)` so the graph opens upward.

graph{y = 2x^2 -3x - 1 [-10.38, 9.62, -4.68, 5.32]}