Find the equation in standard form of the parabola described.
-The vertex has coordinates (6, 9), and the focus has coordinates (7, 9).
A) $( y - 9 ) ^ { 2 } = - 4 ( x - 6 )$
B) $( x - 9 ) ^ { 2 } = 8 ( y - 9 )$
C) $( x - 9 ) ^ { 2 } = - 8 ( y - 9 )$
D) $( y - 9 ) ^ { 2 } = 4 ( x - 6 )$

Question

Find the equation in standard form of the parabola described.
-The vertex has coordinates (6, 9), and the focus has coordinates (7, 9). 
A) $( y - 9 ) ^ { 2 } = - 4 ( x - 6 )$
B) $( x - 9 ) ^ { 2 } = 8 ( y - 9 )$
C) $( x - 9 ) ^ { 2 } = - 8 ( y - 9 )$
D) $( y - 9 ) ^ { 2 } = 4 ( x - 6 )$

Quizplus · Accepted Answer

The parabola opens horizontally because the x-coordinates of the vertex and focus differ. The equation is $( y - 9 ) ^ { 2 } = 4p ( x - 6 )$, where $p = 1$ (distance from vertex to focus), so the equation is $( y - 9 ) ^ { 2 } = 4 ( x - 6 )$.

Find the Equation in Standard Form of the Parabola Described (y−9)2=−4(x−6)( y - 9 ) ^ { 2 } = - 4 ( x - 6 )(y−9)2=−4(x−6)

Find the Equation in Standard Form of the Parabola Described $( y - 9 ) ^ { 2 } = - 4 ( x - 6 )$