Identifying Turning Points and Lines of Symmetry for Quadratic Functions in Vertex Form

Identifying Turning Points and Lines of Symmetry for Quadratic Functions in Vertex Form

Secondary 3

Quadratic Function

State whether the turning point is Maximum or Minimum

Coordinates of the turning point

Equation of line of symmetry

(a)    \(y={{\left( x-1 \right)}^{2}}+2\)

(b)    \(y={{\left( x+2 \right)}^{2}}+5\)

(c)    \(y=-{{\left( x+3 \right)}^{2}}-3\)

(d)    \(y=-{{\left( x-4 \right)}^{2}}+7\)

(e)    \(y=1-{{\left( x+1 \right)}^{2}}\)

(f)    \(y=2+{{\left( x+5 \right)}^{2}}\)

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Answer:(a) Minimum point \((1,2)\), symmetry \(x=1\) (b) Minimum point \((-2,5)\), symmetry \(x=-2\) (c) Maximum point \((-3,-3)\), symmetry \(x=-3\) (d) Maximum point \((4,7)\), symmetry \(x=4\) (e) Maximum point \((-1,1)\), symmetry \(x=-1\) (f) Minimum point \((-5,2)\), symmetry \(x=-5\)

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