The vertex of the parabola would be located at which coordinates
-6,3
6,3
3,-6
3,6

where a-term determines how wide/narrow/upward or downward of the graph.

h-term determines the changes of graph for x-axis

k-term determines the changes of graph for y-axis.

The vertex of parabola is at (h,k).

Therefore, h = 6 and k = 3.

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;