Determine the standard form of an equation of the parabola subject to the given conditions.
-Focus: $( - 4 , - 3 )$; Vertex: $( - 4 , - 5 )$
A) $( x - 4 ) ^ { 2 } = 2 ( y - 5 )$
B) $( x - 4 ) ^ { 2 } = 8 ( y - 5 )$
C) $( x + 4 ) ^ { 2 } = 8 ( y + 5 )$
D) $( x + 4 ) ^ { 2 } = 2 ( y + 5 )$

Question

Quizplus · Accepted Answer

The vertex form of a parabola is $(x - h)^2 = 4p(y - k)$. Here, the vertex is $(-4, -5)$ and the focus is $(-4, -3)$, so $p = 2$. Thus, the equation is $(x + 4)^2 = 8(y + 5)$.

Determine the Standard Form of an Equation of the Parabola (−4,−3)( - 4 , - 3 )(−4,−3)

Determine the Standard Form of an Equation of the Parabola $( - 4 , - 3 )$