Answer:
The parent sine graph 
has a range of -1 ≤ y ≤ 1
It crosses the x-axis x = 0° ± 180°n
The maximum points occur when x = 90° ± 360°n and y = 1
The minimum points occur when x = 270° ± 360°n and y = -1
The sketch the graph of function 
we simply move the graph of up 2 units.
So this means it will have a range of 1 ≤ y ≤ 3
It no longer crosses the x-axis.
The maximum points occur when x = 90° ± 360°n and y = 3
The minimum points occur when x = 270° ± 360°n and y = 1
<u>Attached diagram</u>
The parent function is shown in grey (dashed line)
The function is shown in red.
Answer:
x ≈ 21.7
I rounded to the nearest tenth because the values are given in tenths. The first few digits of x are below if you are rounding to something else, as the image is cut out.
Step-by-step explanation:
(It will not let me post, so I've attached a screenshot of my explanation:)
Answer:
5 11/12
Step-by-step explanation:
First convert the mixed number into an improper fraction: 31/6
Find a common denominator:
18/24 and 124/24
124/24+ 18/24 is 142/24 and that is the same as 5 11/12
Hopefully this helps and you can have a lovely day!
(1, 1) and (4, -4)
Slope formula is : m = (y₂-y₁) / (x₂-x₁)
In this case :
x₁ = 1 ; x₂ = 4 ; y₁ = 1 ; y₂ = -4
Now that you know what variable counts as what, we simply just need to plug everything in.
m = (-4 - 1) / (4 - 1)
Simplify.
m = -5/3
Therefore, your slope is -5/3
~Hope I helped~ :)
