What are the focus and directrix of the parabola x²

Question

What are the focus and directrix of the parabola x² - 4x = 4y? A) focus (2, 0), directrix y = -2 B) focus (2, -1), directrix y = 1 C) focus (0, 0), directrix y = -1 D) focus (2, 3), directrix y = -5 E) focus (2, 1), directrix y = -1

Quizplus · Accepted Answer

The equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) is the vertex and p is the distance from the vertex to the focus and directrix. In this case, h = 2, k = 0, and p = 1. So the focus is (2, 1) and the directrix is y = -1.

What Are the Focus and Directrix of the Parabola X2