What is a quadratic graph?

Answer 1

In general, the graph of a quadratic equation

y = ax2 + bx + c is a parabola.

If a > 0, then the parabola has a minimum point and it opens upwards (U-shaped) eg.

y = x2 + 2x − 3

If a < 0, then the parabola has a maximum point and it opens downwards (n-shaped) eg.

General equation of Quadratic Function:

Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 with A, B, C not all zero.

the graphs of quadratic equations are all conic sections

Based on the values of the constants A,B,C the following cases emerge:

1. Parabola

2. Circle

3. Ellipse

4. Hyperbola

5. Rectangular Hyperbola

The wiki reference tells you the rules for determining which graph you are working with based on the constants, A, B, and C.