identify how the graph is shifted from that of the parent function.\ny = csc(x + 4)\n4 units up\n4 units…

identify how the graph is shifted from that of the parent function.\ny = csc(x + 4)\n4 units up\n4 units down\n4 units left\n4 units right

identify how the graph is shifted from that of the parent function.\ny = csc(x + 4)\n4 units up\n4 units down\n4 units left\n4 units right

Answer

Explanation:

Step1: Recall function - shift rule

For a function $y = f(x + h)$, if $h>0$, the graph of the parent - function $y = f(x)$ is shifted $h$ units to the left.

Step2: Identify the value of $h$

In the function $y=\csc(x + 4)$, we have $h = 4$. Since $h=4>0$, the graph of the parent - function $y=\csc(x)$ is shifted 4 units to the left.

Answer:

4 units left