Melissa's coffee shop makes a blend that is a mixture of two types of coffee type a coffee cost Melissa for 4.75 per pound and t
1 answer:
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To transform the function 
to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have 
To transform the function
to have the midline 
we need to subtract 
by 4, so we have 
,
To transform the function to have period of 
, we need to divide the original period 
by 4, so we have 
. Note that it is the 
gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given
which is the last option
To transform the function
To transform the function
Hence, the full transformation is given
Answer:
The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is .
Step-by-step explanation:
From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:
(1)
Where ,
and
are the roots of the polynomial.
If we know that ,
and
, then the polynomial function in factorized form is:
(2)
And by Algebra we get the standard form of the function:
(3)
The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is .
Look for what 'y' is when t = 1 and t = 2. Go to the graph, look at 1 on the bottom axis and go up till you find the point, then go all the way to the left to see what the y-value is, in this case it should be 1200. If you do the same with t = 2, you will get 2400. So our two ordered pairs are:
(1, 1200), (2, 2400)
We can find the slope of these two points by plugging them into the slope formula:
For points in the form of (x1, y1), (x2, y2). Plug in what we know:
Subtract:
Divide:
This is the slope, so we can write the equation:
(1, 1200), (2, 2400)
We can find the slope of these two points by plugging them into the slope formula:
For points in the form of (x1, y1), (x2, y2). Plug in what we know:
Subtract:
Divide:
This is the slope, so we can write the equation: