Write the equation in vertex form and then find the vertex, focus and directrix of a parabola with equation: x = y" + 18y-2

Answer 1

x=y²+18y+81-2-81=(y+9)²-83 by completing the square

x+83=(y+9)²

x-h=4p(y-k)²

Vertex: (-83,-9)

Directrix: x=-83-1/4

Focus: (-83+1/4,-9)