two functions are given below: f(x) and h(x). state the axis of symmetry for each function and explain how to find it.

f(x): x + 4 = 0

h(x): x = 1.

Step-by-step explanation:

The function f(x) = 3(x + 4)² + 1 ca be modified to  

Therefore, the function is an equation of parabola whose vertex is at (-4,1) and the axis is parallel to positive y-axis.

Therefore, the equation of the axis of the parabola is x = - 4

We know that a parabola is symmetric about its axis.

So, the function is symmetric about line x + 4 = 0. (Answer)

Now, the graph of the function h(x) also shows that it is a parabola having the vertex at (1,-3) and the axis is positive y-axis. Now, the equation of the axis line is x = 1.

Therefore, the function h(x) ia symmetric about line x = 1. (Answer)

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;