Using translation concepts, it is found that the transformations to create function d are given as follows:
- Horizontal shift right 1 unit.
- Vertical shift up 5 units.
- Frequency multiplied by 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent cosine function is given by:
f(x) = cos(x).
The translated function is given by:
d(x) = cos(2x - 1) + 5.
Which means that:
- 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
- 5 was added in the range, hence there was a vertical shift up 5 units.
- There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
hello!!!
We will learn it simple method,we know that multiplication of whole numbers is repeated addition. For example
3*4= 4+4+4
in this same way we can say that
[-12]=(-3)+(-3)+(-3)+(-3)
also,
4(*-3)=(-12)
for the second equation we can take it same as the above one
So it make no diffrence when we multiplied integers as (positive)*(negative) OR (NEGATIVE)*(POSITIVE)
And so now we can say
FOR ANY TWO POSITIVE INTEGER a and b WE CAN SAY
(-a) *(b) = (-b)*(a) = -(a*b)
HOPE FULLY U MAY LIKED MY ANSWER GIVE POSITIVE FEEDBACK AND IF WANTS ANYTHING OTHER YOU MAY ASK ME IN COMMENT
30 ÷ 6 represents a quotient.
30 is the dividend. 6 is the divisor. The quotient is 5.
:::::
5.2v represents a product of two factors.
5.2 and v are both factors.
5.2 is the multiplicand and v is the multiplier.
Answer:
x² - 2x - 8
Step-by-step explanation:
The notation (f·g)(x) means to multiply the two functions. Use the distributive property to simplify.
(f·g)(x) = (x+2)(x-4) = x² + 2x - 4x - 8 = x² - 2x - 8
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That’s the answer or u can but a bar on the 6 because it’s repeating 3.916666666