A main feature of KmPlot is to visualize the influence of parameters to the curve of a function.
Let's see, how to move a sinus curve left and right:
f(x,a) = sin(x-a)
Now you can move the slider and see how the parameter value modifies the position of the curve.
Now let's have a look at the maximum distance of a projectile thrown with different angles. We use a parametric plot depending on an additional parameter which is the angle.
f_x(t,α) = v_0∙cos(α)∙t f_y(t,α) = 2+v_0∙sin(α)∙t−5∙t^2
Now you can move the slider and see how the distance depends on the parameter value.