Consider the equation 1 fourth times open paren x minus 5 close paren is equal to open paren y minus 2 close paren squared What is the equation of the directrix?

Rewrite the equation as (y − 2)² = ¼(x − 5) and compare it with the standard form (y − k)² = 4p(x − h). This gives the vertex (5, 2) and p = 1/16. For a parabola opening right, the directrix is x = h − p = 5 − 1/16 = 4.9375, so the answer is x = 4.9375.

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