Three curves i.e. $a) y = x^{2}, b) y = 4 x^{2} & c) y = 8 x^{2}$ are depicted in the following graph. Identify correct relation.

(a)-(1) , (b)-(2), (c)-(3)

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(a)-(3) , (b)-(2), (c)-(1)

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(a)-(2) , (b)-(1), (c)-(3)

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(a)-(2) , (b)-(3), (c)-(1)

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Solution

The correct option is B (a)-(3) , (b)-(2), (c)-(1)
As the value of coefficient increases in the polynomial $y = a x^{2}$ , the curve gets more narrow along positive y-axis.

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Three curves i.e. a) y=x2, b) y=4x2 & c) y=8x2 are depicted in the following graph. Identify correct relation.

The correct option is B (a)-(3) , (b)-(2), (c)-(1)As the value of coefficient increases in the polynomial y=ax2, the curve gets more narrow along positive y-axis.

Three curves i.e. $a) y = x^{2}, b) y = 4 x^{2} & c) y = 8 x^{2}$ are depicted in the following graph. Identify correct relation.

The correct option is B (a)-(3) , (b)-(2), (c)-(1)
As the value of coefficient increases in the polynomial $y = a x^{2}$ , the curve gets more narrow along positive y-axis.