Mathematical Methods · rates of change · manipulative

Average rate of change

Reshape the parabola, then drag two points — average rate is the secant slope [f(b)−f(a)]/(b−a).

y = (x−h)² + k Secant (average rate)

Drag the points on the curve · scroll zoom · drag pan · Shift+drag an axis to dilate

Average rate

Average rate of change
—
units of y per unit of x

Function y = A(x − h)² + k

1
0
0

Interval endpoints

0.5
2.5

Formula