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3 years ago

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

Mathematics

2 answers:

anastassius [24]3 years ago

6 0

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

#LearnwithBrainly

My name is Ann [436]3 years ago

3 0

Answer:

A. (2,1)

Step-by-step explanation:

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Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a r

slamgirl [31]

Will ran the longest

He ran for 56.57 yards, 13.56 yards longer than James.

Step-by-step explanation:

Step 1 :

Will ran the diagonal across a square field measuring 40 yards in each side.

The diagonal of a square can be obtained by the square root of the sum of the squares of its 2 sides [Because it forms the hypotenuse of a right angle triangle]

Hence when the side is 40 yards , the diagonal would be

$\sqrt{40^{2} + 40^{2}} = \sqrt{1600 + 1600} = \sqrt{3200} =56.57 yards$

So Will ran for 56.57 yards

Step 2 :

James ran the diagonal of a rectangular field with 25 yards length and 35 yards width.

The diagonal of the rectangle can be obtained by the square root of the sum of squares of its length and width.

Hence when the length is 25 yards and width is 35 , the diagonal would be

$\sqrt{35^{2} + 25^{2}} = \sqrt{1225 + 625}} = \sqrt{1850} = 43.01$ yards

So James ran for 43.01 yards

Step 3 :

Will ran for 56.57 yards and 43.01 yards.

Hence Will ran for longer distance of 56.57 yards, which is 13.56 yards more than James.

5 0

3 years ago

Find the difference.<br> -6 2 1411 1-6 (-1)5<br> 10.-9.18][ 3 14<br> ol<br> -51]

scoray [572]

Answer: This problem is all mixed up. There is no way to solve it with it like this.

Step-by-step explanation:

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3 years ago

16 students are percussionist which is 20% of the students how many students are in band

11Alexandr11 [23.1K]

Answer:

80 Students are in the band class

Step-by-step explanation:

I did this mentally so sorry if it is bad

16 = 20%

= 40% 32 students

40% +40% = 80%

32+ 32 = 64

80+20%

64+16

80 Students are in the band class

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3 years ago

Wilhelmina wrote a check for $72 to pay her monthly Internet bill, but when

lesantik [10]

Answer:

her bank statement will show that she has $144 less than her checkbook balance

Step-by-step explanation:

let the amount of money in the bank before writing the check be x

after writing the check for $72, because she accidentally recorded this as a credit, here checkbook will reflect a balance of :$(x + 72)

However, the bank correctly records the debit of the $72, resulting a balance of: $(x-72)

Hence compared to her checkbook, the bank records will show an amount difference of :

(x-72) - (x + 72)

= x - 72 -x -72

= -144

i.e her bank statement will show that she has $144 less than her checkbook balance

3 0

3 years ago

Read 2 more answers

Find the slope of the line that passes through (10,7) and (1,9)

Simora [160]

Answer:

Step-by-step explanation:

Use the slope formula

(x2-x1)/(y2/y1)

substitute the values

(1-10)/(9-7)

solve

-9/-2

simplify

9/2 or 4.5

6 0

3 years ago