Answer:
Step-by-step explanation:
The zeros of a function are where it crosses the x axis, so just find the coordinates for the x intercepts.
1.
and 
2.
and 
Answer:
- See the graphs attached and the explanation below
Explanation:
The most simple sine function, considered the parent function, is:

That function has:
- Midline, also known as rest or equilibrium position: y = 0
- Minimum: - 1
- Maximum: 1
- Amplitude: the distance between a minimum or a maximum and the midline = 1
- period: the interval of repetition of the function = 2π
The more general sine function is:

That function has:
- Midline: y = D (it is a vertical shift from the parent function)
- Minimum: - A + D
- Maximum: A + D
- Amplitude: A
- period: 2π/B
- phase shift: C (it is a horizontal shift of the from the parent function)
Now, you have to draw the sine function with the given key features:
- Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
- midline y = - 1 ⇒ D = - 1
Substitute the know values and use the y-intercept to find C:

Substitute (0, -1)

Hence, the function to graph is:

To draw that function use this:
- Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
- Minima: 3(-1) - 1 = - 3 - 1 = -4
- y-intercept: (0, - 1)
- x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
- first point of the midline: (0, -1) it is the same y-intercept
With that you can understand the graphs attached.
Answer:
What is 2x + 5 (y-1) when x=8 and y=5
Step-by-step explanation:
HELP ME
Answer:
120°.
Step-by-step explanation:
The sum of all interior angles in a polygon with
sides (
,
) is equal to
. (Credit: Mathsisfun.)
The polygon here has 6 sides.
. Its interior angles shall add up to
.
Consider the properties of a regular polygon. (Credit: Mathsisfun.)
- All sides in a regular polygon are equal in length.
- All angles in a regular polygon are also equal.
There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be
.