How do you graph this function?

Attachment image

4 Answers

Relevance
  • ?
    Lv 7
    1 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)

    Attachment image
    • Login to reply the answers
  • Pope
    Lv 7
    1 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.

    • Login to reply the answers
  • Anonymous
    1 month ago

    Plug it into desmos my man 

    • Login to reply the answers
  • 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).

    • Login to reply the answers
Still have questions? Get your answers by asking now.