Find the equation in standard form of the parabola described.
-The focus has coordinates (0, 19), and the equation of the directrix is y = -19.
A) $x ^ { 2 } = - 76 y$
B) $x ^ { 2 } = 76 y$
C) $y ^ { 2 } = 76 x$
D) $y ^ { 2 } = 19 x$

Question

Find the equation in standard form of the parabola described.
-The focus has coordinates (0, 19), and the equation of the directrix is y = -19. 
A) $x ^ { 2 } = - 76 y$
B) $x ^ { 2 } = 76 y$
C) $y ^ { 2 } = 76 x$
D) $y ^ { 2 } = 19 x$

Quizplus · Accepted Answer

The vertex of the parabola is midway between the focus and the directrix, at (0, 0). The distance from the vertex to the focus or directrix is 19. The parabola opens upwards, so the equation is $x^2 = 4py$, where $p = 19$. Thus, $x^2 = 76y$.

Find the Equation in Standard Form of the Parabola Described x2=−76yx ^ { 2 } = - 76 yx2=−76y

Find the Equation in Standard Form of the Parabola Described $x ^ { 2 } = - 76 y$