What is a quadratic graph?
In general, the graph of a quadratic equationy = 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 − 3If 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 sectionsBased on the values of the constants A,B,C the following cases emerge:1. Parabola2. Circle3. Ellipse4. Hyperbola5. Rectangular HyperbolaThe wiki reference tells you the rules for determining which graph you are working with based on the constants, A, B, and C.