MODELING A WATER WHEEL

The data from the previous table is plotted to the right. The distance the boat traveled is on the x-axis, and the vertical position of the barnacle is on the y-axis.

ANSWERS

The graph follows the zero-max-zero-min-zero pattern.

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 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.

Step-by-step 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

Hope this Helps!!!

range is infinite on both x and y axis positive and negative

step-by-step explanation: