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Question
Which among the following is the correct graphical representation of y=−x2+4x+1 ?
Which among the following is the correct graphical representation of y=−x2+4x+1 ?
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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=−(x2−4x−1)
=−(x2−4x+4−5)
⇒y−5=(x−2)2
From this, we can say the vertex of the parabola is (2,5)
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=−(x2−4x−1)
=−(x2−4x+4−5)
⇒y−5=(x−2)2
From this, we can say the vertex of the parabola is (2,5)
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