Write an equation for the parabola.
-vertex $( - 4,6 )$, focus $( - 15,6 )$
A) $- 44 ( x - 4 ) = ( y + 6 ) ^ { 2 }$
B) $x + 4 = - 44 ( y - 6 ) ^ { 2 }$
C) $( y - 6 ) ^ { 2 } = - 44 ( x + 4 )$
D) $x + 6 = - 15 ( y - 4 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The correct equation for a parabola with a horizontal axis is $(y-k)^2=4p(x-h)$, where $(h,k)$ is the vertex and $p$ is the distance from the vertex to the focus. Here, the vertex is $(-4,6)$ and the focus is $(-15,6)$, so $p = -4 - (-15) = -11$. Substituting $h = -4$, $k = 6$, and $p = -11$ into the formula gives $(y-6)^2 = -44(x+4)$.

Write an Equation for the Parabola (−4,6)( - 4,6 )(−4,6) , Focus

Write an Equation for the Parabola $( - 4,6 )$ , Focus