Question

determine the following for the graph:
minimum: □ maximum: □
what is the amplitude? □
what is the vertical shift from the parent function?
□

Explanation:

Step1: Identify min/max from graph

The lowest point on the graph has a y-value of -2, and the highest point has a y-value of 2.

Step2: Calculate amplitude

Amplitude is half the difference between max and min.
$\text{Amplitude} = \frac{2 - (-2)}{2} = \frac{4}{2} = 2$

Step3: Find vertical shift

Vertical shift is the midline, which is the average of max and min.
$\text{Vertical Shift} = \frac{2 + (-2)}{2} = 0$

Answer:

Minimum: -2
Maximum: 2
What is the amplitude? 2
What is the vertical shift from the parent function? 0