Question

What is the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6?

Answer 1

\(\begin{array}{rllll}
4{\color{red}{ p}}(y-&{\color{red}{ k}})=(x-&{\color{red}{ h}})^2\\
\ \ \uparrow &\uparrow &\uparrow \\
\textit{focus distance}&\textit{vertex-y coord}&\textit{vertex-x coord}
\end{array}\)

Answer 2

woops ... my arrow ... went awry... anyhow

Answer 3

\(\begin{array}{llll}
4{\color{red}{ p}}(y-&{\color{red}{ k}})=(x-&{\color{red}{ h}})^2\\
\ \uparrow &\uparrow &\uparrow \\
\textit{focus distance}&\textit{vertex-y coord}&\textit{vertex-x coord}
\end{array}\)

Answer 4

you pretty much have all those values given...so, plug them in :)

Answer 5

I'm confused..whats the focus distance?

Answer 6

the distance from the vertex to the focus
which is also the same as the vertex to the directrix

so.. how many units from the vertex to the directrix?

Answer 7

-6?? @jdoe0001