Question
Find the equation of the parabola vertex at the origin, focus at (0,-7)
Answers
GPT 3.5
The standard form of the equation of a parabola with vertex at the origin and focus at (0,-7) is:
$$(x - h)^2 = 4p(y - k)$$
where the vertex is at the point (h, k) = (0, 0) and the distance from the vertex to the focus is p = 7.
Plugging in these values, we get:
$$x^2 = 28y$$
So, the equation of the parabola is: $$y = x^2/28$$
$$(x - h)^2 = 4p(y - k)$$
where the vertex is at the point (h, k) = (0, 0) and the distance from the vertex to the focus is p = 7.
Plugging in these values, we get:
$$x^2 = 28y$$
So, the equation of the parabola is: $$y = x^2/28$$