Answer:
Option D. x = (1/4)y².
Explanation:
Option A. y = -(1/4)x²
Opens at vertically down. Therefore not the answer.
Option B. x = -(1/4)y²
Opens at x- axis to the left. Axis of symmetry is parallel to the y- axis.Therefore not the answer.
Option C. y = (1/4)x²
It has the axis of symmetry parallel to the x axis opening vertically up. Therefore not the answer.
Option D. x = (1/4)y²
Parabola defined by this equation has the axis of symmetry parallel to the x axis and opening at right of the x axis.
Therefore option D is the answer.