Question

What is the equation of a parabola with vertex (0,0) and directrix x=-3?

Answer 1

a parabola is the set of points equidistant from the focus (a point) and the directrix (a line). The vertex is located symmetrically between the focus and the directrix. Can you tell me what the vertex for this parabola must be?

Answer 2

sorry, what the focus for this parabola must be?

Answer 3

would it be 3?

Answer 4

(0,3)

Answer 5

you've got the right numbers, but not the right answer...

Answer 6

what are the coordinates of the point I indicated on the graph? remember, the vertex is located symmetrically between focus and directrix

Answer 7

Vertex is (0,0)

Answer 8

yeah, but the focus is what we need to find to write the equation...what are the coordinates of the focus? it's the little circle on the x-axis

Answer 9

(0,3)