Answer:
Shift 4 units down: 
Stretching f(x) by 4 : 
Shift 4 units left: 
Compress by 1/4 units : 
Step-by-step explanation:
Given
Required
Match the transformations (See attachment)
<u>Shift 4 units down</u>
Shifting down a function is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
<u>Stretching f(x) by 4 </u>
Stretching a function by some units is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
<u>Shift 4 units left</u>
Shifting a function to the left is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
Calculating f(x - 4)
Hence:
<u>Compress by 1/4 units </u>
This means that the function is stretched by 
Compressing a function is represented as:
In this case:
Substitute expression for f(x) and 4 for b in
Calculating f(4x)
Hence:
Answer:
A is the correct answer
Step-by-step explanation:
I just did this problem
Answer:
a. The first six terms are:
-7, -4, -1, 2, 5, 8
b. The first six terms are:
0, 2, 0, 2, 0, 2.
c. The first six terms are:
4, 8, 24, 96, 480, 2880
Step-by-step explanation:
a. an - 3n - 10
For n = 1
a1 = 3(1) - 10
= -7
For n = 2
a2 = 3(2) - 10
= -4
For n = 3
a3 = 3(3) - 10
= -1
For n = 4
a4 = 3(4) - 10
= 2
For n = 5
a5 = 3(5) - 10
= 5
For n = 6
a6 = 3(6) - 10
= 8
The first six terms are:
-7, -4, -1, 2, 5, 8
b. an= (1+(-1)^n)^n
For n = 1
a1 = (1+(-1)^1)^1
= 0
For n = 2
a2 = (1+(-1)^2)^1
= 2
For n = 3
a3 = (1+(-1)^3)^1
= 0
For n = 4
a4 = (1+(-1)^4)^1
= 2
For n = 5
a5 = (1+(-1)^5)^1
= 0
For n = 6
a6 = (1+(-1)^6)^1
= 2
The first six terms are:
0, 2, 0, 2, 0, 2.
c. an= 2n! (2)
For n = 1
a1 = 2(1!)(2)
= 4
For n = 2
a2 = 2(2!)(2)
= 8
For n = 3
a3 = 2(3!)(2)
= 24
For n = 4
a4 = 2(4!)(2)
= 96
For n = 5
a5 = 2(5!)(2)
= 480
For n = 6
a6 = 2(6!)(2)
= 2880
The first six terms are:
4, 8, 24, 96, 480, 2880
Answer:
what is the question
Step-by-step explanation:
