select the correct statements in the passage. hillarys teacher asked her to write a description of the…

select the correct statements in the passage. hillarys teacher asked her to write a description of the transformations to the parent cosine function that would result in this function. $h(x)=-3cos(2x - pi)+4$. which statements in her description are true about function $h$? to create the graph of function $h$, the graph of the parent function is horizontally compressed by a factor of $\frac{1}{2}$. then it undergoes a phase shift left $\frac{pi}{2}$ units. next it is vertically compressed by a factor of -3 and vertically shifted up 4 units. the period of function $h$ is half the period of the parent function, and it has an amplitude 3 units greater than that of the parent function.

select the correct statements in the passage. hillarys teacher asked her to write a description of the transformations to the parent cosine function that would result in this function. $h(x)=-3cos(2x - pi)+4$. which statements in her description are true about function $h$? to create the graph of function $h$, the graph of the parent function is horizontally compressed by a factor of $\frac{1}{2}$. then it undergoes a phase shift left $\frac{pi}{2}$ units. next it is vertically compressed by a factor of -3 and vertically shifted up 4 units. the period of function $h$ is half the period of the parent function, and it has an amplitude 3 units greater than that of the parent function.

Answer

Answer:

  1. To create the graph of function (h), the graph of the parent function is horizontally compressed by a factor of (\frac{1}{2}).
  2. The period of function (h) is half the period of the parent function.

Explanation:

Step1: Analyze horizontal compression

For a cosine function (y = A\cos(Bx - C)+D), the horizontal - compression factor is (\frac{1}{|B|}). In (h(x)=[Client Connection Error][Connection Error]