Question

Which is the focus of a parabola with equation y2 = 4x?

0 (-1,0)
0 (0, -1)
0 (0, 1)
(1, 0)​

Answer 1

(1,0) 2022

Explanation:

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Answer 2

(1, 0)

Explanation:

Please write this as y^2 = 4x; the " ^ " indicates exponentiation.

The appropriate equation for a horizontal parabola that opens to the right is

y^2 = 4px

Here, we are told that y^2 = 4x; this tells us that 4p = 4, and so p = 1.

Again, this parabola is a horizontal one and it opens to the right. p = 1 is the distance of the focus from the vertex, and in this case p = 1. Thus, the focus is at (1, 0) (situated on the x-axis).