Question

The graph of sinusidal function intersects its midline at (0,-3) and then has a maximum point at (2,-1.5). Write the formula of the function.​
please help me asap

Answer 1

Answer:

y = 1.5sin[(pi/4)x] - 3

Step-by-step explanation:

Mid line: y = -3

Amplitude: -1.5 - (-3) = 1.5

From mean line to max is ¼ of a cycle:

Period = 4 × 2 = 8

No. of cycles in 2pi:

2pi/8 = pi/4

y = 1.5sin[(pi/4)x] - 3

Answer 2

Solutions

Mid line: y = -3

Amplitude: -1.5 - (-3) = 1.5

From mean line to max is ¼ of a cycle:

Period = 4 × 2 = 8

No. of cycles in 2pi:

2pi/8 = pi/4

y = 1.5sin[(pi/4)x] - 3