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Drew the graph of y=|sinx-0.5|....

Drew the graph of `y=|sinx-0.5|`.

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Verified by Experts

First draw the graph of `y=sinx-0.5` by shifting the graph of `y=sinx'0.5'` units downward vertically.
Now to draw the graph of `y=sinx-0.5`, shift the graph of `y=sinx0.5` units downward along the y-axis.

Hence the graph of `y=|sinx-0.5|` can be drawn as follows.
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CENGAGE-GRAPHICAL TRANSFORMATIONS-Exercise
  1. Drew the graph of y=|sinx-0.5|.

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  2. Draw the graph of y=tan^(-1)x-cot^(-1)x.

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  3. Draw the graph of y=|(1)/(|x|)-2|.

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  4. Draw the graph of y=tan^(-1)x+cos^(-1)x+sin^(-1)x.

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  5. Draw the graph of |y|=(x-1)(x-2)(x-3).

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  6. Draw the graph of y=2sin^(-1)(x//3).

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  7. Draw the graph of y=cot^(-1)|x|.

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  8. Draw the graph of y=sec^(-1)|x|.

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  9. Draw the graph of y=|log(e)(x+3)|.

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  10. Draw the graph of y=|log(e)|x||.

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  11. Draw the graph of y=|{x}-0.5|, where {.} represents the fractional par...

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  12. Draw the graph of y=|sinx|+sin|x|.

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  13. If the graph of y=|f(x)| is as shown in figure then the graph of y=f(...

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  14. The number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)sin^...

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  15. Find the number of real solutions to the equation log(0.5)|x|=2|x|.

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  16. Find the number of points where the function f(x)=max|tanx|,cos|x|) is...

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  17. Find the number of points of non-diferentiability for f(x)=max{||x|-1|...

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  18. Let f(x) = max. {|x^2 - 2| x ||,| x |} then number of points where f(x...

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  19. Draw the graph of |y|=[x], where [.] represents the greatest integer f...

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  20. Draw the graph of |2x|+|y|=2 using graphical transformation.

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  21. Consider the function f(x)={2x+3, x le 1 and -x^2+6, x > 1 Then draw t...

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