Give the focus, directrix, and axis for the parabola.
-$$- \frac { 1 } { 40 } x ^ { 2 } = y$$
A) $( 0 , - 10 ) , y = 10 , y$-axis
B) $( - 20,0 ) , x = 10 , x$-axis
C) $( 0,10 ) , y = - 10 , y$-axis
D) $( 0 , - 10 ) , y = 10$, $x$-axis

Question

Quizplus · Accepted Answer

The given equation is in the form $y = -\frac{1}{4p}x^2$, where $p = 10$. The focus is $(0, -p) = (0, -10)$, the directrix is $y = p = 10$, and the axis is the $y$-axis, matching option A.

Give the Focus, Directrix, and Axis for the Parabola −140x2=y- \frac { 1 } { 40 } x ^ { 2 } = y−401​x2=y

Give the Focus, Directrix, and Axis for the Parabola $- \frac { 1 } { 40 } x ^ { 2 } = y$