Problema Solution
Write an equation that satifies each set of conditions below.
A parabola having vertex (0,0) and directrix y = 2.
Answer provided by our tutors
A parabola whose standard equation is y = a(x-h)^2+k has its vertex at (h,k). We want the vertex to be at (0,0), so the equation is y=ax^2
The directrix of the parabola goven by the equation y=ax^2 is the line y=-1/(4a)
We want -1/(4a) = 2, so a=-1/8
The equation of this parabola is
y=(-1/8)x^2