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y=f(x) Transforms to |y|=|f(|x|)|

If y1=x2; y2=...

Question

If $y_{1} = x^{2}; y_{2} = x^{2} - 4$ , then the graph of $y_{1}$ as solid line curve and the graph of $y_{2}$ as a dashed line curve is denoted by which of the following figures appropriately:

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Solution

$y_{1} = x^{2}; y_{2} = x^{2} - 4$
Clearly, $y_{2} = y_{1} - 4$
Graph of $y_{1} = x^{2}$ is given below.

So, dashed curve is $4$ unit down to the solid curve as given below.

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y=f(x) Transforms to |y|=|f(|x|)|

Standard XIII Mathematics

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