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
Answer:
The given expression is a cubic polynomial with degree 3.
Step-by-step explanation:
We are given the following in the question:
Polynomial:
- A polynomial is an expression.
- It consisting of variables and coefficients.
- The variables and coefficients involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
Since, the given expression satisfies all the properties, it is a polynomial.
Degree of polynomial:
- It is the maximum degree of the polynomial.
The degree of given polynomial is 3.
Nature of polynomial:
It is a cubic polynomial.
Answer:
2400 words
Step-by-step explanation:
80 = 2 min
60min ÷ 2min = 30min
30 × 80 = 2400 words
Answer:
(2, 3).
Step-by-step explanation:
3x+2y=12
6x+3y=21 Multiply the first equation by 3 and the second by 2:
9x + 6y = 36
12x + 6y = 42 Subtract:
-3x = -6
x = -6/-3 = 2.
Plug x = 2 into the first equation:
3(2) + 2y = 12
2y = 12 - 3(2)
2y = 6
y = 3.
