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:
7900 79 times 100 ------------
Answer:
y = 1/2x + 4
Step-by-step explanation:
Use the formula for the equation of a line.
y = mx + b
Where m is the slope, and b is the y-intercept.
The slope is given.
y = 1/2x + b
The points (x, y) are given.
(4, 6)
Put y as 6 and x as 4, solve for b.
6 = 1/2(4) + b
6 = 2 + b
6 - 2 = b
4 = b
The y-intercept is 4 or (0, 4).
The equation of the line is y = 1/2x + 4.
Answer:
The system that can be used is:
Step-by-step explanation:
We have that:
x is the price of a package of sugar cookies, y is the price of a package of oatmeal cookies.
Shaikha sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56.
This means that:
Khalid sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60.
This means that
System that can be used:
The system that can be used is:
