SOLUTION: A sinusoidal function has an amplitude of 6 units, a period of 45° and a minimum at (0, 3). Determine an equation of the function.

Question 1140710: A sinusoidal function has an amplitude of 6 units, a period of 45° and a minimum at (0, 3). Determine an equation of the function.

Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

(1) minimum at (0,3) means either a negative cosine function with no horizontal shift or a shifted sine function; since the shift makes the equation more complicated, we will use a negative cosine function.

(2) An amplitude of 6 and a minimum at (0,3) means the center line is 3+6 = 9.

(3) The period is 45 degrees (pi/4 radians), which is 1/8 of the period of the basic cosine function:

A graph: center line 9; minimum 3 and maximum 15; period pi/4 = 0.785 approximately....

RELATED QUESTIONS
A sinusoidal function has an amplitude of 8 units, ad period of 180, and a minimum at (0, (answered by ikleyn,math_tutor2020)

A cosine function has an amplitude of 6 units, a period of 45º, and a minimum at... (answered by Alan3354)

A sinusoidal function has an amplitude of 3 units, a maximum at (0,4), and a period of... (answered by josmiceli,greenestamps)

A given sinusoidal function has a period of 3, an amplitude of 7, and a maximum at (0,... (answered by Theo)

State the equation of your choice that has an amplitude of 3 units, a period of 2𝜋/ 3... (answered by ikleyn)

Determine a possible equation for a cosine function with an amplitude of 3, a period of... (answered by stanbon)

the graph of a cosine function has amplitude 4, period 90degrees, and a vertical... (answered by lwsshak3)

A sinusoidal graph has a amplitude of 4, period of 90 and a minimum of (0,2). Write a... (answered by Alan3354)

Write an equation of a sine function with the given amplitude=3 period=2pi/3 and phase... (answered by stanbon)