Which of the quadratic functions has the widest graph?

-3x²

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x² / 7

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x² /3

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-4x²

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Solution

The correct option is B
x² / 7

Consider the quadratic function $a x^{2} + b x + c$

Lesser the magnitude of a, greater is the width of the graph.

So, out of the four given options $\frac{1}{7} x^{2}$ has the least magnitude(consider only absolute value) of a.

Hence, the quadratic function $\frac{1}{7} x^{2}$ has more width in the graph as compared to others.

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Q. Question 2
Which of the following is not a quadratic equation?
(a)

2 (x - 1)^{2} = 4 x^{2} - 2 x + 1

(b)

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(c)

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(d)

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Which of the following is not a quadratic equation?
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(b) $2 x - x^{2} = x^{2} + 5$
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(d) $(x^{2} + 2 x)^{2} = x^{4} + 3 + 4 x^{3}$

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