Question

Consider the equation One-fourth(x – 5) = (y – 2)2. What is the equation of the directrix?

Answer 1

Considering the parabolic equation, the equation for the directrix is given by x = 4.9375.

What is the equation of a parabola given it’s vertex?

The equation of a horizontal quadratic function, of vertex (h,k), is given by:

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

The directrix is given by:

x = h - p.

In this problem, the equation is given by:

(y - 2)² = 0.25(x - 5).

Hence h = 5, p = 0.25/4 = 0.0625, hence the directrix is:

x = h - p = 5 - 0.0625 = 4.9375.

More can be learned about parabolic equations at brainly.com/question/24737967

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