Given:
The polynomial is
To find:
Based on its number of terms name for the given polynomial.
Solution:
We have,
Here, number of terms is 3.
Any polynomial with three terms is known as trinomial.
Therefore, based on its number of terms the given polynomial is called a trinomial.
The vertex is the high point of the curve, (2, 1). The vertex form of the equation for a parabola is
.. y = a*(x -h)^2 +k . . . . . . . for vertex = (h, k)
Using the vertex coordinates we read from the graph, the equation is
.. y = a*(x -2)^2 +1
We need to find the value of "a". We can do that by using any (x, y) value that we know (other than the vertex), for example (1, 0).
.. 0 = a*(1 -2)^2 +1
.. 0 = a*1 +1
.. -1 = a
Now we know the equation is
.. y = -(x -2)^2 +1
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If we like, we can expand it to
.. y = -(x^2 -4x +4) +1
.. y = -x^2 +4x -3
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An alternative approach would be to make use of the zeros. You can read the x-intercepts from the graph as x=1 and x=3. Then you can write the equation as
.. y = a*(x -1)*(x -3)
Once again, you need to find the value of "a" using some other point on the graph. The vertex (x, y) = (2, 1) is one such point. Subsituting those values, we get
.. 1 = a*(2 -1)*(2 -3) = a*1*-1 = -a
.. -1 = a
Then the equation of the graph can be written as
.. y = -(x -1)(x -3)
In expanded form, this is
.. y = -(x^2 -4x +3)
.. y = -x^2 +4x -3 . . . . . . same as above
Answer: 2880yard²
Step-by-step explanation:
Answer: x = 5
Step-by-step explanation:To solve this you first need to collect the like terms 6x-2x=7+3. Add those 4x=20. After that you need to divide both sides. Then you will get you solution.
The equation of the midline of the sinusoidal function is y =0.
We have to determine
What is the equation of the midline of the sinusoidal function?
<h3>
The midline of the
sinusoidal function;</h3>
The mid-line of any Sinusoidal function is a line that goes between the highest and lowest values of y of that function.
Here we will take the middle value of y.
The formula is used to find midline is;
In the given graph, the Highest value of the function is 5 and the Lowest value of the function is -5.
Substitute all the values in the formula;
Hence, The equation of the midline of the sinusoidal function is y =0.
Learn more about Sinusoidal Function here:
brainly.com/question/12078395
