Answer:
Where
Step-by-step explanation:
To find:
The equation of the given graph in the question area.
Solution:
By looking at the graph, we can clearly see that the graph is either sine curve or cosine curve.
We know that sine curve starts at 0.
Therefore, the given curve is sine curve.
Let us have a look at the different values of a sine curve at various angles.
Also,
Here, we have at , it means that angle is in the form of .
Now, let us have a look at the curve is decreasing or increasing.
It is decreasing after the angle 0, therefore the function has a negative sign.
So, it can be written as:
Now, let us have a look at the maximum and minimum values so as to find the value of
Here, we can clearly see that minimum value is -2 and maximum value is 2.
Therefore, the value of is 2.
So, the equation is:
Where
The standard form of the quadratic function in this problem is given as follows:
y = -0.25(x² - 4).
<h3>How to define the quadratic function?</h3>
The standard definition of a quadratic function is given as follows:
y = ax² + bx + c.
Considering it's roots x' and x'', the definition are given as follows:
y = a(x - x')(x - x'')
In which a is the leading coefficient.
From the table given by the image at the end of the answer, the roots are given as follows:
x' = -2, x'' = 2.
(as they are the values of x for which y = 0).
Then:
y = a(x + 2)(x - 2)
y = a(x² - 4).
When x = 0, y = 1, hence the leading coefficient is given as follows:
1 = -4a
a = -1/4.
a = -0.25.
Hence the equation is of:
y = -0.25(x² - 4).
<h3>Missing Information</h3>
The table is given by the image shown at the end of the answer.
More can be learned about quadratic functions at brainly.com/question/24737967
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Answer:
434
Step-by-step explanation:
multiply 62 and 7
Answer:
<h2>She reads 125 pages each day.</h2>
Step-by-step explanation:
<h3>You just divide 375 by 3</h3><h3>hope this helps :)</h3>