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Can you please help me with 42Graph the parabola, labeling the focus and the directrix

Can you please help me with 42Graph the parabola, labeling the focus and the directrix-example-1
User Nichele
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1 Answer

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Given:


x^2+4x+2y+2=0
\begin{gathered} x^2+4x+4-4+2y+2=0 \\ x^2+4x+4+2y-2=0 \\ x^2+4x+4=2-2y \\ (x+2)^2=-2(y-1) \\ X^2=-2Y \end{gathered}

Compare with,


x^2=-4ay
\begin{gathered} 4a=2 \\ a=(1)/(2) \end{gathered}
\text{Directrix : y=}(3)/(2)
\text{Focus: (-2,}(1)/(2))
\text{Vertex: (-2,1)}

Can you please help me with 42Graph the parabola, labeling the focus and the directrix-example-1
User Pylyp Lebediev
by
6.4k points
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