A parabola has the following properties.Vertex at (–2, 1)Directrix is x = 5Which equation represents this parabola?

The directrix is 7 units to the right of the vertex, so the parabola opens left and its directed focal distance is p = −7. A horizontal parabola with vertex (h, k) follows (y − k)² = 4p(x − h). Substituting h = −2, k = 1, and p = −7 gives (y − 1)² = −28(x + 2), which is choice C.

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