Choose the equation below whose axis of symmetry is x = 2.

y = x2 + 4x + 2

y = x2 − 4

y = x2 − 2

y = x2 − 4x + 2

Option 4 is the correct answer.

Step-by-step explanation:

There are four equations of a parabola given in the question and we have to find the equation for which axis of symmetry  is  x = +2

Since line of symmetry of a parabola passes through its vertex so will find - Vertex of all the equations.

(1)  

So vertex is ( -2, -6 )

(2)

Vertex is ( 0, -4 )

(3)  

vertex is ( 0, -2 )

(4)  

=

=

So vertex will be ( +2, -2 )

Out of all equations we find vertex of equation (4) is x=2 and y=-2, so line of symmetry will be x=2.

Option 4 is the correct answer.

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