In a standing wave, the positions with the highest amplitudes are the points of destructive interference wave troughs amplifications antinodes

In a standing wave, the positions with the highest amplitudes are ANTINODES

Explanation:

As we know that superposition of two waves which travels in opposite direction and is of same frequency will give the effect of maximum and minimum intensity at alternative points

this phenomenon of wave superposition is known as standing waves

so here in standing waves the points of constructive interference is known as Antinodes where the amplitude of the wave is maximum and hence the intensity will be maximum

And all the points where it will form destructive interference is known as Nodes and here at all nodes the amplitude is minimum and the hence the intensity is also minimum

at antinodes

at nodes

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14

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