Question

C

Answer 1

Step-by-step explanation:

Since the focus lies on the x axis, and the diretcrtirx is a vertical line, we have a sideways parabola so we have the equation

$(y - k) {}^{2} = 4p(x - h)$

where h,k is the vertex and

p is the distance from the vertex to the focus or the distance fromcthe vertex to the directrix.

Since the focus is 1.5, and the directrix is -1.5 the vertex is (0,0) so we have

$y {}^{2} = 4px$

We know p is 1.5 so we have

${y}^{2} = 6x$

$\frac{1}{6 } {y}^{2} = x$