# Question A parabola has a vertex at (-3,2). Where is the axis of symmetry if it opens downward

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A parabola has a vertex at (-3,2). Where is the axis of symmetry if it opens downward

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&#12304;General guidance&#12305;The answer provided below has been developed in a clear step by step manner.Step1/2 Given the vertex of the parabola is $$\mathrm{{\left(-{3},{2}\right)}}$$.The objective is to find the axis of symmetry if the parabola opens downwards.Equation of parabola is $$\mathrm{{\left({x}-{\left(-{3}\right)}\right)}^{{2}}={4}{p}{\left({y}-{2}\right)}}$$where $$\mathrm{{4}{p}}$$ is negative.Simplify to get,$$\mathrm{{\left({x}+{3}\right)}^{{2}}={4}{p}{\left({y}-{2}\right)}}$$Explanation:The equation of ... See the full answer