Give the standard form of the equation of the parabola with the given characteristics. vertex: (-7, -2) focus: (-5, -2)
A) $( y - 2 ) ^ { 2 } = 8 ( x - 7 )$
B) $( y + 2 ) ^ { 2 } = 8 ( x + 7 )$
C) $( y + 2 ) ^ { 2 } = - 8 ( x + 7 )$
D) $( x + 7 ) ^ { 2 } = - 8 ( y + 2 )$
E) $( x - 7 ) ^ { 2 } = - 8 ( y - 2 )$

Question

Quizplus · Accepted Answer

The parabola opens horizontally because the focus and vertex have the same y-coordinate. The vertex form is $(y + 2)^2 = 4p(x + 7)$, where $p = 2$, giving $(y + 2)^2 = 8(x + 7)$.

Give the Standard Form of the Equation of the Parabola (y−2)2=8(x−7)( y - 2 ) ^ { 2 } = 8 ( x - 7 )(y−2)2=8(x−7)

Give the Standard Form of the Equation of the Parabola $( y - 2 ) ^ { 2 } = 8 ( x - 7 )$