If you vertically shift the absolute value parent function, f(x)=lxl up five units what is the equation of the new function?

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)

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;