Find an equation for the parabola described.
-Vertex at $( 6,1 )$; focus at $( 6,3 )$
A) $( y - 1 ) ^ { 2 } = - 12 ( x - 6 )$
B) $( y - 1 ) ^ { 2 } = 12 ( x - 6 )$
C) $( x - 6 ) ^ { 2 } = 8 ( y - 1 )$
D) $( x - 6 ) ^ { 2 } = - 8 ( y - 1 )$

Question

Quizplus · Accepted Answer

The focus is above the vertex, indicating a vertical parabola. The distance between the vertex and the focus is $p = 2$, so the equation is $(x - h)^2 = 4p(y - k)$, where $(h, k)$ is the vertex. Substituting $h = 6$, $k = 1$, and $p = 2$ gives $(x - 6)^2 = 8(y - 1)$.

Find an Equation for the Parabola Described (6,1)( 6,1 )(6,1) ; Focus At

Find an Equation for the Parabola Described $( 6,1 )$ ; Focus At