Answer to Question #219587 in Analytic Geometry for Bless

Question #219587

Write down the Cartesian equation of a parabola with vertex at the origin and the

focus at the point (0, −2).

Expert's answer

Solution.

(x-h)^2 = 4p(y-k)

where $(h,k) - vertex$ , so in our case it is $(0,0)$ and distance from vertex to focus is $p$ = -2

(x-0)^2 = 4*(-2)*(y-0)

x^2 = -8y

y =- 1/8 * x^2

Answer: $y = -1/8 * x^2$

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