Grade Practice Test | Lumos Learning

Given the equation of the parabola \(y = \frac{1}{2}{(x+2)}^2-5.\ \) Find the vertex of the parabola and the direction it opens.

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Given the equation of the parabola \(x = \frac{1}{3}{(y-4)}^2+1\). Find the vertex of the parabola and the direction it opens.

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Write the equation of the parabola in standard form if the focus is (3, 0) and the directrix is x = -3.

Expressing Geometric Properties with Equations (HSG.GPE.A.2)