Content
Want a deeper conceptual understanding? Try our interactive lesson!
No exercises available for this concept.
A quadratic model has a turning point (vertex) at which its minimum or maximum value occurs. The general form of a quadratic equation is ax2+bx+c.
If a<0, the turning point of a quadratic is its maximum; if a>0, the turning point of a quadratic is its minimum.
Powered by Desmos
The roots of a quadratic correspond to the x-intercepts of its graph. When x=a or x=β, the entire expression equals zero, which is reflected on the graph.
The equation of the parabola below is −(x−α)(x−β):
Powered by Desmos
The graph of a quadratic function has the general shape of a parabola.
It is symmetrical about the axis of symmetry and has a maxima or minima at the vertex, which lies on the axis of symmetry.
Powered by Desmos