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What is the axis of symmetry of the parabola \(y=-2(x+3)^2+7\)?

Answer and explanation

Correct answer: \(x=-3\)

In the vertex form \(y=a(x-h)^2+k\), the axis of symmetry is \(x=h\). Here, \(x+3=x-(-3)\), so \(h=-3\) and the axis is \(x=-3\). The value \(y=7\) is the y-coordinate of the vertex, not the axis of symmetry. Exam tip: rewrite the squared term as \((x-h)^2\) and identify \(x=h\) directly.

Related tags

GraphsQuadratic FunctionsAxis Of SymmetryVertex FormStandard Equations And Simple Properties Of A ParabolaConic SectionsMathematicsClass 11 Mcq

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