Give the focus, directrix, and axis for the parabola.
-$$- \frac { 1 } { 24 } x ^ { 2 } = y$$
A) $( 0 , - 6 ) , y = 6 , x$-axis
B) $( 0,6 ) , y = - 6 , y$-axis
C) $( - 12,0 ) , x = 6 , x$-axis
D) $( 0 , - 6 ) , \mathrm { y } = 6 , \mathrm { y }$-axis

Question

Quizplus · Accepted Answer

The given equation is in the form $x^2 = -4py$, indicating a downward-opening parabola. The focus is $(0, -p)$, the directrix is $y = p$, and the axis is the y-axis. Here, $4p = 24$, so $p = 6$. Thus, the focus is $(0, -6)$, the directrix is $y = 6$, and the axis is the y-axis.

Give the Focus, Directrix, and Axis for the Parabola −124x2=y- \frac { 1 } { 24 } x ^ { 2 } = y−241​x2=y

Give the Focus, Directrix, and Axis for the Parabola $- \frac { 1 } { 24 } x ^ { 2 } = y$