Question

Precalc: can someone help me find the directrix and focus of this parabola and then graph it? I'm not sure how to do it

x^2-6y=0

Answer 1

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Answer 2

\[x^2=6y\]
it is an upward parabole
directrix
\[y=-\frac{ 6 }{ 4 }=-\frac{ 3 }{ 2 },~or~2y+3=0\]
focus is \[\left( 0,\frac{ 3 }{ 2 } \right)\]