Braniliest
1 answer:
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Answer:
- The graph is attached below.
Step-by-step explanation:
Given : A sine function has the following key features:
Period = π , Amplitude = 2, Midline: y = -2 , y-intercept: (0,-2)
The function is a reflection of its parent function over the x-axis.
To plot the graph :
Solution :
General form of sin function is
Where A is the amplitude
C is the midline
Substitute the given key features
A=2 , C=-2
The sin function is
The function is a reflection of its parent function over the x-axis.
i.e, The coordinate became (x,y)→(x,-y)
The sin function is
Now, We plot the graph of the sin function.
The graph is attached below.
First point is midline i.e, (0,-2)
Minimum point is
<h2>Hello!</h2>
The answer is:
The correct option is the first option:
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at:
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!
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Espero que esto ayude
Persona que respondió: BangtanBoyScouts