parabola equation
y squared = 4ax
parametric equations of a parabola
x = a t squared / y =2at
coordinates of focus of parabola
(a,0)
directrix of parabola
x+a=0
rectangular parabola equation
xy = c squared
parametric equations of rectangular parabola
x = ct / y= c/t
what 2 techniques do you use to find the gradient of any point in a parabola?
parametric and implicit differentiation
parametric differentiation
dy/dx = dy/dt / dx/dt
implicit differentiation
when differentiating both x and y at the same time