<u>ANSWER</u>
The vertex form is
<u>EXPLANATION</u>
We use completing squares
We factor -4 out of the first two terms
We add and subtract , that is coming from,
.
The expression in the first parenthesis is now a perfect square.
The function is now in the form,
, where
is the vertex
Hence the vertex is
Answer:
The probability of finding five left-handers in the sample is P(x=5)=0.094.
Step-by-step explanation:
We can model this variable with a binomial distribution, with parameters n=46 (sample size) and p=0.170 (the probability that an individual is left-handed).
The probability that k individuals are left-handed in the sample can be calculated as:
Then, the probability of finding five left-handers in the sample is:
<u>Given:</u>
The equation of the function is
We need to determine the vertex form.
<u>Vertex form:</u>
The vertex form of the equation of the parabola can be determined by solving the function using completing the square method.
The vertex form of the function is of the form
We need to write the vertex form of the function in the form of
Hence, let us solve the function using completing the square method.
Thus, we have;
Thus, the vertex form of the function is
Hence, Option A is the correct answer.