What is the vertex of the function x2 - 6x + 8 = 0?

The vertex of the function is (h,k) = (3 , -1)

Solution:

The vertex form of quadratic equation is generally given as,

Where h,k is the vertex of the parabola.

From question, given that .

we have to find the vertex of the function.

Let us first convert the given quadratic equation to vertex form (eqn 1)

By adding “9” on both sides of equation, we get

By using the identity ,the right hand side of above equation becomes,

Now,the equation is of the vertex form.

By comparing with

we get the values of (h,k)

a = 1; h = 3; k = -1

hence the vertex of the function is (h,k) = (3 , -1)

£56

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;