16 + 3(5 - b) + 2whereb = 3

Determine the vertex of the function f(x) = 3(x − 2)2 + 1.

anastassius [24]

The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1) ⇒ answer A

Step-by-step explanation:

Any quadratic function represented graphically by a parabola

1. If the coefficient of x² is positive, then the parabola open upward

and its vertex is a minimum point

2. If the coefficient of x² is negative, then the parabola open

downward and its vertex is a maximum point

3. The standard form of the quadratic function is: f(x) = ax² + bx + c

where a, b , c are constants

4. The vertex form of the quadratic function is: f(x) = a(x - h)² + k,

where h , k are the coordinates of its vertex point

∵ The function f(x) = 3(x - 2)² + 1

∵ The f(x) = a(x - h)² + k in the vertex form

∴ a = 3 , h = 2 , k = 1

∵ h , k are the coordinates of the vertex point

∴ The coordinates of the vertex point are (2 , 1)

The vertex point of the function f(x) = 3(x - 2)² + 1 is (2 , 1)

Learn more:

You can learn more about quadratic function in brainly.com/question/1357167

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6 0

3 years ago

Read 2 more answers

The cost of 10 ice creams at an ice cream stand is $20. Which graph shows the cost of different numbers of ice cream at the ice

il63 [147K]

Every 1 ice cream is 1/2 dollar

7 0

4 years ago

Which of the following is NOT true of the confidence level of a confidence interval? Choose the correct answer below. A. The co

Grace [21]

Answer:

<em>There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample.</em> ( B )

Step-by-step explanation:

Confidence level depicts the probability that the confidence interval actually contains the values of p ( true values of P ) hence

<em>There is a 1-a chance, where a is the complement of the confidence level, that the true value of p will fall in the confidence interval produced from our sample</em> Is a complete misinterpretation of the confidence interval therefore it is NOT true

8 0

3 years ago

HELPPO ME PLEASEE!!!!!!

ElenaW [278]

Answer:

Here,

x + 25° + 3x + 95° + 80°=360° (Sum of angles of a quadrilateral is 360°)

or,x+3x + 25° + 95° + 80° =360°

or,4x + 200 = 360°

or,4x = 360 - 200

or,4x = 160

or,x = 160÷4

or,x = 40

Now,

Angle K = (x + 25)° = 40 + 25° = 65°

Angle L = 3x° = 3 × 40° = 120°

4 0

3 years ago

A researcher wants to know how professional athletes in her city feel about safety measures. She obtains a list of 952 professio

mojhsa [17]

Answer:

For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled $p$ .

In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is $\hat p=0.76$ .

Step-by-step explanation:

For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled $p$ .

In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is $\hat p=0.76$ .

6 0

3 years ago