What is the equation of the following graph in vertex form?

The equation in vertex form is:

Step-by-step explanation:

Recall that the formula of a parabola with vertex at is given by the equation in vertex form:

where the parameter can be specified by an extra information on any other point apart from the vertex, that parabola goes through.

In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:

we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter :

The, the final form of the parabola's equation in vertex form is:

,xzgv

step-by-step explanation:

; oqirjg'

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;