A quadratic function is an equation s the form of y=ax2+bx+c
Can be used to solve math equations that create a U shaped on a graph called a parabola.

Quadratic function: y=-x2+2x+3

Quadratic 1- ax2+by+c=y
Quadratic 2- x2=y

When the slider value of a is at 1 and b and c are at 0 the line in symmetrical and the same as the line for quadratic B.

When a<0 the line is the same as it would be on the other side but instead in the negative, reverse side. Both the maximum and minimum points are equal on the two functions. When a>0 the line only has a minimum point which is 0. There is no maximum point.
When -11 the minimum point is still 0 and there is no maximum point with a<-1 the maximum point is 0 and including the other function the minimum point is 0 as well. Only when a becomes negative is when there is a maximum sign. When a is positive there is no maximum sign only a minimum sign. C has a constant y value that changes only when you change the value of C. As c becomes negative the parrelle line moves down and as c becomes positive the line moves up. There is no slope. Equation #1: y=1x² Equation #2: y=1x²+0-1 Equation #3: y=1x²+0+2