parabolas 2

Question

Find the vertex, focus, directrix, and focal width of the parabola. 

x = 10y²

Answer 1

The parabola equation x  = 10y ²

The y  part is squred,so the parabola is horizintal parabola.

Standard form of horizontal parabola is

Where Center (h, k ),focus is (h +p, k ) and directrix is x  = h - p

Compare it to standard form of parabola.

Since p  > 0, the parabola opens right.

Vertex of parabola is

Focus is

Directrix is

.