The graph of of y - x 2 liles above the x axis-A- TrueB- False

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Standard X

Mathematics

Graphical Method of Finding Solution of a Pair of Linear Equations

The graph of ...

Question

The graph of of $y = - x^{2}$ liles above the x axis.

True

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False

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Solution

The correct option is B False
For plotting $y = - x^{2}$ , assign different integer values to x from -2 to 2.
$\begin{matrix} x & - 2 & - 1 & 0 & 1 & 2 x^{2} & 4 & 1 & 0 & 1 & 4 - x^{2} & - 4 & - 1 & 0 & - 1 & - 4 \end{matrix}$
Plot the points (-2, -4), (-1, -1), (0, 0), (1, -1), (2, -4) we get

The graph of $y = - x^{2}$ does not lie above the x-axis as y is always negative.

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The graph of of y=−x2 liles above the x axis.

The correct option is B FalseFor plotting y=−x2, assign different integer values to x from -2 to 2. x−2−1012x241014−x2−4−10−1−4 Plot the points (-2, -4), (-1, -1), (0, 0), (1, -1), (2, -4) we get The graph of y=−x2 does not lie above the x-axis as y is always negative.

The graph of of $y = - x^{2}$ liles above the x axis.