B changes the location of the y-intercept on the function, but the height of the intercept stays the same. The bottom of a concave up (top of a concave down) parabola is the vertex, and B is moving the vertex...along a parabola!
4
negative 10
10
5
A changes the width between the two symmetrical lines of the parabola. When A is 0, the function is linear. This is because making A zero obliterates the x^2 term, and the resulting function is written in slope-intercept form. When A is negative, the parabola is reflected across the x-axis. Positive A is concave up, negative A is concave down.
6
negative 10
10
7
8
powered by
powered by
New Blank Graph
Examples