Answer:

Step-by-step explanation:
The parent function of this graph is: y = sin(x)
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function:

- A = amplitude (height from the mid-line to the peak)
- 2π/B = period (horizontal distance between consecutive peaks)
- C = phase shift (horizontal shift - positive is to the left)
- D = vertical shift
The parent function y = sin(x) has the following:
- Amplitude (A) = 1
- Period = 2π
- Phase shift (C) = 0
- Vertical shift (D) = 0
- Mid-line: y = 0
From inspection of the given graph:
- Amplitude (A) = 1

- Phase shift (C) = 0
- Vertical shift (D) = +3 (as mid-line is y = 3)

Substituting the values into the standard form:


Therefore, the equation of the given trigonometric graph is:

Answer:
28/9
Step-by-step explanation:
22/9 = 2.444444...
24/9 = 2.66666...
26/9 = 2.88888...
28/9 = 3.1111111...
Answer:5/100, 5/10, 50/100
Step-by-step explanation:
Answer:
49 prizes each, with 5 left
Step-by-step explanation:
985/20 is 49 with 5 left over.
Every day, it increases by 8 inches. We know that it started at 16 inches.
We can construct an equation with this information.
Equation: 16+8x=h
h=Height
x=Days
Plug in 12 for x:
16+96=h
h=112 inches
Answer: The plant will be 112 inches tall in 12 days.