Need help for a math quiz tomorrow how do you find the amplitude? I thought it was the point where it started but my math teacher said other wise, an answer would be very much appreciated.

Question

Answered

Answer :

olumideolawoyin olumideolawoyin · Answer 1 · 2024-05-17T01:21:05-04:00

Answer:

3

Explanation:

Amplitude is the highest vertical displacement of the graph, but for this kind of graph with different values of crest and trough.

Amplitude =

[tex] \frac{crest \: - trough}{2} = \frac{2 - ( - 4)}{2} [/tex]

[tex] = \frac{6}{2} [/tex]

= 3.

Therefore, the amplitude for this graph is 3

Answer Link

semsee45 semsee45 · Answer 2 · 2024-05-17T02:50:08-04:00

Answer:

Amplitude = 3

Step-by-step explanation:

The amplitude of a sinusoidal graph is the vertical distance from the midline to the peak (or trough).

To calculate the amplitude, take half the positive difference between the function's maximum and minimum values.

In this case, the maximum value of the function is y = 2, and the minimum value of the function is y = -4. Therefore:

[tex]\textsf{Amplitude}=\dfrac{|2-(-4)|}{2}=\dfrac{6}{2}=3[/tex]

Answer Link