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# How do you graph this function?

### 4 Answers

- ?Lv 71 month ago
The original function y = 2 cos (x/2) goes above and below the x-axis (see dotted-black graph below).

y = | 2 cos (x/2)| simply takes any portion of y = 2 cos (x/2) that falls below the x-axis, and flips it above the x-axis (see solid-lavender graph)

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- PopeLv 71 month ago
Can you graph y = cos(x)? You should be able to do a fair job of that by hand.

Starting with that graph, dilate it with respect to the origin, using scale factor 2. This is a dilation, so it scales the graph in all directions. Actually, you can effect this simply by doubling the indices on both axes, so (..., 1, 2. 3,...) becomes (..., 2, 4, 6,...).

Now for the absolute value part, every part of the graph lying below the x-axis is reflected on that axis so that its image lies above.

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- Anonymous1 month ago
Plug it into desmos my man

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- 1 month ago
Cosine curve (U-shaped) with period of 4pi and amplitude of 2. Meaning you start at (0,2) then go down to (2pi,-2) and end at (4pi,2).

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