Give the focus, directrix, and axis for the parabola.
-$$( x + 3 ) ^ { 2 } = 8 y$$
A) $( - 3,2 ) , y = - 2 , x = - 3$
B) $( - 3,0 ) , y = 2 , x = - 3$
C) $( - 3 , - 2 ) , y = - 2 , x = - 3$
D) $( 3,2 ) , y = 2 , x = 3$

Question

Quizplus · Accepted Answer

The given equation $(x + 3)^2 = 8y$ is in the form $(x - h)^2 = 4p(y - k)$, where $h = -3$, $k = 0$, and $4p = 8$, so $p = 2$. The focus is $(h, k + p) = (-3, 2)$, the directrix is $y = k - p = -2$, and the axis is $x = h = -3$.

Give the Focus, Directrix, and Axis for the Parabola (x+3)2=8y( x + 3 ) ^ { 2 } = 8 y(x+3)2=8y

Give the Focus, Directrix, and Axis for the Parabola $( x + 3 ) ^ { 2 } = 8 y$