Consider the equation 1/4(x – 5) = (y – 2)^2. What is the equation of the directrix? A.) x = 4.0000
B.) x = 4.7500
C.) x = 4.6250
D.) x = 4.9375

D

Step-by-step explanation:

Find the vertex

¼(x-5) = (y-2)²

x-5 = 4(y-2)²

x = 4(y-2)² + 5

This is a right-opening parabola with vertex (5,2).

focal length p = 1/(4·coefficient of y²) = 0.0625

directrix: x = 5-p = 4.9375

D

step-by-step explanation: