Answer:
The true statements include
- This is the pattern for a sine function.
- The amplitude is 1
- The vertical shift is 0
- An equation for this graph is y = sin(x)
The only untrue statement is
- The graph follows the zero-max-zero-min-zero pattern.
Explanation:
Observing the graph of the function presented, one can examine the options and pick the true options from them all.
Statement 1
The graph follows the zero-max-zero-min-zero pattern.
From the graph, it is obvious that this is a false claim as the graph doesn't follow a zero-max-zero-min-zero pattern, rather, its values range from 0 to 1 to 0 to -1, then it goes back to zero to repeat the cycle all over.
Statement 2
This is the pattern for a sine function.
This is true. A sine wave follows the exact pattern that this plot follows; its values range from 0 to 1 to 0 to -1, then it goes back to zero to repeat the cycle all over.
Statement 3
The amplitude is 1
This is true. The amplitude of a motion of a body refers to the maximum displacement of that body from the equilibrium position. From this plot, it is evident that that amplitude is 1 for the vertical motion of this barnacle.
Statement 4
The vertical shift is 0
The vertical shift of the plot refers to how far the equilibrium position of the motion is from the origin line (x-axis line). And for this motion and plot, the equilibrium position for the vertical motion, is placed on the x-axis, indicating a vertical shift of 0.
Statement 5
An equation for this graph is y = sin(x)
This is true. As described under statement 2 and as evident from the corresponding values of x and y from the plot; with x in radians, the values of y can be obtained by taking the sin of the value of x, indicating that this plot is a plot of y = sin x
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