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26-09-2018
Mathematics

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Identify the vertex, focus, and directrix of the parabola who’s equation is y^2=2x

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tramserran tramserran

26-09-2018

y² = 2x ⇒ x = [tex]\frac{1}{2} y^{2}[/tex]

vertex (0, 0)

focus: [tex]\frac{1}{4p} = \frac{1}{2}[/tex] ⇒ p = [tex]\frac{1}{2}[/tex] so focus is: ([tex]\frac{1}{2}[/tex] , 0)

directrix: x = [tex]-\frac{1}{2}[/tex]

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