if you vertically shift the absolute value parent function, f(x)=lxl up five units what is the equation of the new function?
2 answers:
Answer:
Step-by-step explanation:
There is a parent function in absolute value as
f(x) = |x|
Given that this is shifted up by 5 units
This means no horizontal shift so x remains as it is
Since vertically shifted by 5 units, we get new function as
This will make the parent function shift by 5 units up and hence y intercept would be
f(0) = 5
This function would be having minimum at (0,5) and symmetrical about x=0
Domain = all real numbers
Range =[5,infty)
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Answer:
not arithmetic
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Given
= 2n² - 1
Substitute in n = 1, 2, 3, 4 to generate the first 4 terms of the sequence
= 2(1)² - 1 = 2 - 1 = 1
= 2(2)² - 1 = 8 - 1 = 7
= 2(3)² - 1 = 18 - 1 = 17
= 2(4)² - 1 = 32 - 1 = 31
check the difference between consecutive terms
7 - 1 = 6
17 - 7 = 10
31 - 17 = 14
The differences are not common hence not an arithmetic sequence