Answer:
Vertex will be (0,0), x=-1/40
the focus is (1/40, 0)
, focus width is 1/10
Step-by-step explanation:
Vertex will be (0,0), and the parabola will open to the right.
The standard form will be x/10 = y^2, so we know that 4p = 1/10, and that p = 1/40.
Your directrix will be x=0-p, so the directrix is x=-1/40
The focus is (x+p, y), so the focus is (1/40, 0)
At x = 1/40, y^2 = 1/400, so y = +/- 1/20. So 1/2 your width is 1/20. 2*(1/20) = 1/10 is your width at the focus.
