Question

Write the equation of the parabola whose focus is (4,0) and directrix at y = 2

Answer 1

Answer:

$\left ( x-4 \right )^{2}+\left ( y-0 \right )^{2}=\left ( y-2 \right )^{2}$

Step-by-step explanation: We know that distance from a point on the parabola and  focus is equal to their distance from a the directrix. Let (x, y) be the point,

So,

$\sqrt{\left ( x-4 \right )^{2}+\left ( y-0 \right )^{2}}=\frac{\left | y-2 \right |}{1}$

$\left ( x-4 \right )^{2}+\left ( y-0 \right )^{2}=\left ( y-2 \right )^{2}$. This is the required equation.