Find the standard form of the equation of the parabola.
-Vertex at $( 9,8 )$, opens downward, focal width $= 2$
A) $( x - 9 ) ^ { 2 } = - 2 ( y - 8 )$
B) $( x - 9 ) ^ { 2 } = - 0.5 ( y - 8 )$
C) $( x - 9 ) ^ { 2 } = 2 ( y - 8 )$
D) $( y - 8 ) ^ { 2 } = 2 ( x - 9 )$

Question

Quizplus · Accepted Answer

The standard form of a parabola opening downward with vertex $(h, k)$ is $(x - h)^2 = -4p(y - k)$, where $4p$ is the focal width. Given the focal width is $2$, $p = 0.5$, so the equation is $(x - 9)^2 = -2(y - 8)$.

Find the Standard Form of the Equation of the Parabola (9,8)( 9,8 )(9,8)

Find the Standard Form of the Equation of the Parabola $( 9,8 )$