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Given equation : y = ( x + 2 )²

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We can pre-assume values of x for given equation.

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Table for corresponding values of x and y.

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x	( x + 2 )²	y = ( x + 2 )²
-5	( -5 + 2 )²	9
-4	( -4 + 2 )²	4
-3	( -3 + 2 )²	1
-2	( -2+ 2 )²	0
-1	( -1+ 2 )²	1
0	( 0+ 2 )²	4
1	( 1 + 2 )²	9

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The graph for above table is

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From above graph

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Turning point is ( -2 , 0 ).

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Axis of symmetry is determined using formula : x = -b/2a

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y = ( x + 2 )²

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y = x²+ 2² + 4x

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y = x² + 4x + 4

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By comparing with equation y = ax² + bx + c

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a = 1 , b = 4

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x = -b/2a

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x = -4/2*1

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x = -2

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Solution :

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Turning point is ( -2 , 0 ).

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Axis of symmetry is x = -2

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