Question

Identify the focus, directrix, and axis of symmetry of x2=108y.

Answer 1

2x or x^2? @uffa678

Answer 2

Find the Vertex. This will lead you on your way.

Answer 3

\(x^{2} = 108y\)

Answer 4

well people do like to copy and paste alot.

Answer 5

its X^2

Answer 6

That's better. Try to remember that "inline" typing just doesn't quite carry the same meaning as what appears in your textbook.

Now, find that Vertex.

Answer 7

so is the vertex (0,0)

Answer 8

Very good. Axis of symmetry is next. Go!

Answer 9

wait how do i find that?

Answer 10

You look at it. Vertex Form is this, in your case. \(108(y - 0) = (x-0)^{2}\). Those 0s helped you find the Vertex. The Axis of Symmetry is also in there. Since the Vertex is (0,0), the Axis of Symmetry must be either x = 0 or y = 0. Which is it. It ALWAYS goes through the Vertex.

Answer 11

so the acid of symmetry is always the vertex or no?

Answer 12

axis*

Answer 13

No, the Vertex is a point. The Axis of Symmetry is a line that contains that point. If you fold your parabola on the Axis of Symmetry, you will see that you have exact copies on each side.