Write an equation for the parabola.
-vertex $( 7 , - 9 )$, focus $( 10 , - 9 )$
A) $x - 7 = 3 ( y + 9 ) ^ { 2 }$
B) $( y + 9 ) ^ { 2 } = 12 ( x - 7 )$
C) $\frac { 3 } { 4 } ( x - 7 ) = ( y + 9 ) ^ { 2 }$
D) $( x - 7 ) ^ { 2 } = 12 ( y + 9 )$

Question

Quizplus · Accepted Answer

The focus is 3 units to the right of the vertex, indicating the parabola opens to the right. The standard form for a horizontal parabola 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, $h=7$, $k=-9$, and $p=3$, so the equation is $(y+9)^2=12(x-7)$.

Write an Equation for the Parabola (7,−9)( 7 , - 9 )(7,−9)

Write an Equation for the Parabola $( 7 , - 9 )$