Find an equation for the conic that satisfies the given conditions. parabola, vertex (0, 0), focus (0, - )

Question

Find an equation for the conic that satisfies the given conditions. parabola, vertex (0, 0), focus (0, -  )

Quizplus · Accepted Answer

Since the vertex is at (0,0), we know that the axis of symmetry is the y-axis. This means that the parabola is of the form $x^2=4py$ for some value of $p$ (the distance from the vertex to the focus). We are given that the focus is at $(0,-11eaa3e5_551a_cf93_9f8f_ab3f2305aa20_TB5971_11)$, which means that $p=11eaa3e5_551a_cf93_9f8f_ab3f2305aa20_TB5971_11$. Substituting this value for $p$ into the equation of the parabola, we get $x^2=44eaa3e5_551a_cf93_9f8f_ab3f2305aa20_TB5971_11y$. Simplifying the coefficient gives the answer of choice B.

Find an Equation for the Conic That Satisfies the Given