Describe the relationships between the two graphs of ƒ and g.

Question

Describe the relationships between the two graphs of ƒ and g.

	The amplitude of ƒ is three times greater than the amplitude of g.
	The amplitude of ƒ is two times greater than the amplitude of g.
	The period of g is three times greater than the period of ƒ.
	The amplitude of ƒ is one third as great as the amplitude of g.

Answer 1

In simple terms, the amplitude is just the difference between the maximum and minimum divided by two.

That is to say:

Amplitude = (Max - Min) / 2

For function f,

1. Max = 3
2. Min = -3
3. Amplitude = (3- -3)/2 = 6/2 = 3

For function g,

1. Max = 1
2. Min = -1
3. Amplitude = (1- -1)/2 = 2/2 = 2

So, the amplitude of ƒ is three times greater than the amplitude of g.

Please leave a comment if this was helpful (or not).

Thank you,

David