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A parabola has its vertex at the origin and its focus at the point (2,1).

a) Find the equation of the directrix of the parabola

b) using d=sqroot((x1-x2)^2+(y1+y2)^2), represent the distance from any point on the parabola, P(x,y), to the focus.

c) Using d = (|Ax1+By1+C|)/sqroot(A^2+B^2), represent the distance from any point on the parabola, P(x,y), to the directrix.

d) Using the representations from (b) and (c), find the equation, in general form, of this parabola (i.e. Ax^2+Bxy+Cy^2+Dx+Ey+F=0).

A parabola has its vertex at the origin and its focus at the point (2,1).

a) Find the equation of the directrix of the parabola

b) using d=sqroot((x1-x2)^2+(y1+y2)^2), represent the distance from any point on the parabola, P(x,y), to the focus.

c) Using d = (|Ax1+By1+C|)/sqroot(A^2+B^2), represent the distance from any point on the parabola, P(x,y), to the directrix.

d) Using the representations from (b) and (c), find the equation, in general form, of this parabola (i.e. Ax^2+Bxy+Cy^2+Dx+Ey+F=0).

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