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The process of drawing piecewise function in mathematics. Use paper and take photos. Thank you. 100 integral. Y= absolute value x squared +x y= absolute value 2x-4 y= absolute value 2x+4.
The first y = | x 2+x | =| (x 2+2 *1/2 * x+1/4)-1/4 | = | (x+1/2) 2-.

The image of Y = (x+ 1/2) 2- 1/4 is obtained by moving Y = x 2 to the left 1/2, and then moving down 1/4.

After adding the absolute value, the part below the X axis is symmetrical with the part above the X axis.

The image is:

The second y=|2x-4| is y=2x, moving down by 4 units. When y

The third y=|2x+4| is y=2x, and it moves up by 4 units when y < =0 is symmetrical with X, as shown in the figure:

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