Questions: Based on the graph above, determine the amplitude, period, midline, and equation of the function. Use f(x) as the output.

Transcript text: Based on the graph above, determine the amplitude, period, midline, and equation of the function. Use $f(x)$ as the output.

Solution

Solution Steps

Step 1: Find the amplitude

The amplitude is the distance from the midline to the highest or lowest point on the graph. The midline is y = 1 and the highest point is 4. The amplitude is 4 - 1 = 3.

Step 2: Find the period

The period is the horizontal distance it takes for the graph to complete one full cycle. The graph completes one full cycle from x = -2 to x = 1. The period is 1 - (-2) = 3.

Step 3: Find the midline

The midline is the horizontal line that divides the graph in half. The highest point on the graph is 4 and the lowest point is -2. The midline is y = (4 + (-2))/2 = 1.

Final Answer:

Amplitude: 3 Period: 3 Midline: y = 1

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