Math Playground
Algebra

Maxima & minima

The highest and lowest points of a curve — without calculus.

The peaks and valleys of a graph. For a parabola, the vertex is the max (if opening down) or min (if opening up).

Try it

Find min of y = x² − 4x + 7

Vertex at x = −b/2a = 2. y(2) = 4 − 8 + 7 = 3. Min is (2, 3).