Give the focus, directrix, and axis for the parabola.
-$$x ^ { 2 } = 12 y$$
A) $( 0 , - 3 ) , x = - 3 , x$-axis
B) $( 0,3 ) , y = - 3 , y$-axis
C) $( 3,0 ) , x = 3 , x$-axis
D) $( 3,0 ) , y = 3$, y-axis

Question

Quizplus · Accepted Answer

The equation $x^2 = 12y$ is in the form $x^2 = 4py$, where $p = 3$. The focus is at $(0, p)$ or $(0, 3)$, the directrix is $y = -p$ or $y = -3$, and the axis of symmetry is the y-axis.

Give the Focus, Directrix, and Axis for the Parabola x2=12yx ^ { 2 } = 12 yx2=12y

Give the Focus, Directrix, and Axis for the Parabola $x ^ { 2 } = 12 y$