Give the standard form of the equation of the parabola with the given characteristics. focus: (-3,13)directrix: $y = 3$
A) $( y - 8 ) ^ { 2 } = - 20 ( x + 3 )$
B) $( x - 8 ) ^ { 2 } = - 20 ( y + 3 )$
C) $( y + 8 ) ^ { 2 } = - 20 ( x - 3 )$
D) $( x + 3 ) ^ { 2 } = 20 ( y - 8 )$
E) $( x - 3 ) ^ { 2 } = 20 ( y + 8 )$

Question

Quizplus · Accepted Answer

The vertex is halfway between the focus and directrix, at (-3, 8). The parabola opens upwards, so the equation is $(x + 3)^2 = 4p(y - 8)$. The distance from the vertex to the focus is 5, so $4p = 20$.

Give the Standard Form of the Equation of the Parabola y=3y = 3y=3

Give the Standard Form of the Equation of the Parabola $y = 3$