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mafiozo [28]
2 years ago
9

The graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x) . If F(x) = x ^ 3 , which o

f the following could be the equation of G(x) ?

Mathematics
1 answer:
meriva2 years ago
3 0

Given:

The function is:

F(x)=x^3

To find:

The function G(x) if the graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x).

Solution:

The transformation is defined as

g(x)=kf(x+a)+b                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that F(x) can be compressed vertically and shifted to the right to produce the graph of G(x). So, the value of k must be lies between 0 and 1, and a<0.

In option A, 0 and a. So, this option is correct.

In option B, 0 and a>0. So, this option is incorrect.

In option C, k>1 and a>0. So, this option is incorrect.

In option D, k>1 and a. So, this option is incorrect.

Therefore, the correct option is A.

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Read 2 more answers
Use the mapping to determine which of the following are elements of the range.
Vadim26 [7]

Answer:

The elements of the range are the birthdays.

Step-by-step explanation:

A function is a distinct sort of relation in which each element of the domain is combined with precisely one element in the range. A mapping displays how the elements are combined.

A mapping figure comprises of two parallel columns. The 1st column signifies the domain of a function, and the other column for its range.  

Lines or arrows are drawn from domain to range, to signify the relation between any two elements.

A function denoted by the mapping, in which each element of the range is combined with accurately one element of the domain is called one-to-one mapping.

From the diagram provided it is clear that the function denoted by the mapping is an one-to-one mapping.

The elements of the range are:

Birthday : {January 5 , January 7 , February 24 , March 1 , April 7 , May 30 , July 20 , August 1 , November 13 , November 26 }

Thus, the elements of the range are the birthdays.

6 0
3 years ago
Directions: Solve these equations by using addition. You will need to use your fraction and decimal skills to solve these
Marina CMI [18]
One simple way to approach this is to subtract the number that DOESN’T have the variable with the solution by the sum.
Lets use problem 1 as the example:
1.) N+8=13
In this case, we subtract 13 by 8 and get 5, therefore N= 5.

2.) B+17=62
62-17= 45
B= 45

3.) X+5/6= 7/16
7/16-5/6= -19/48
X= -19/48

4.) y+1/7=5/8
5/8-1/7= 27/56
Y= 27/56

5.) 14+y=69
69-14=55
Y=55

6.) c+3.6=4.9
4.9-3.6=1.3
C= 1.3

Now for the word problems:
Lets use 7 as the example-
7.) a number increased by 19 is equal to 221.
Since we don’t know the number being increased by 19, that will be our variable. It will be re-written as so:

N + 19 = 221

Where N is the unknown number.

Using the same method of subtracting by the sum and the number that’s not the variable, we’ll get the solution to N
221-19= 202
N= 202

8.) N + 1 2/3 = 8
8 - 1 2/3 = 19/3= 6 1/3
N= 6 1/3

I really hope this helps
6 0
2 years ago
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