Find an equation of the parabola described.
-Focus at $( 4,0 ) ;$ vertex at $( 0,0 )$
A) $y ^ { 2 } = 16 x$
B) $x ^ { 2 } = 16 y$
C) $x ^ { 2 } = 4 y$
D) $y ^ { 2 } = 4 x$

Question

Quizplus · Accepted Answer

The focus of the parabola is at (4,0) and the vertex is at (0,0), indicating the parabola opens to the right. The distance from the vertex to the focus (p) is 4, leading to the equation $y^2 = 4px$, where $p = 4$, thus $y^2 = 16x$.

Find an Equation of the Parabola Described (4,0);( 4,0 ) ;(4,0);

Find an Equation of the Parabola Described $( 4,0 ) ;$