What is the vertex of each function? Match the function
The vertex form of a quadratic function is f(x) =
rule with the coordinates of its vertex.
f(x) = 9(x + 5)2 - 6
(5.-9)

The vertex is the point (-5,-6)

Step-by-step explanation:

we know that

The equation of a vertical parabola written in vertex form is given by the expression

where

a is the leading coefficient

(h,k) is the vertex

we have

so

The leading coefficient is a=9

The vertex is the point (-5,-6)

14

step-by-step explanation:

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;