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Class 11MathematicsRelations and FunctionsGraphs of standard functionsExpert
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Which point is the vertex of the graph of \(y=-|x+2|+5\)?

Answer and explanation

Correct answer: \((-2,5)\)

The standard form of a modulus function is \(y=a|x-h|+k\), whose vertex is \((h,k)\). Here, \(x+2=x-(-2)\), so \(h=-2\) and \(k=5\). Therefore, the vertex is \((-2,5)\). Option B incorrectly changes the sign of the x-coordinate. Exam tip: Set the expression inside the modulus equal to zero to find the x-coordinate of the vertex.

Related tags

GraphsModulus FunctionsVertexRelations And FunctionsGraphs Of Standard FunctionsMathematicsClass 11 Mcq
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  1. 1If f(x)=x^2 and A={1,2,3} is the domain of f, which of the following is the graph of f on A?
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  7. 7Which shape represents the graph of (f(x)=x^2)?
  8. 8In which direction does the graph of (f(x)=-x^2) open?
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