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Question

Which among the following is the correct graphical representation of y=x2+4x+1 ?


A

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B

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C

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D

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Solution

The correct option is A


Since the sign of x2 is negative, it will be a parabola opened towards negative y-axis. For the vertex part of it, we can write the given expression as
y=(x24x1)
=(x24x+45)
y5=(x2)2
From this, we can say the vertex of the parabola is (2,5)


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