which function is equivalent to f(x)=1/4(x-2)^2+3?

f(x)=1/2x+2
f(x)=1/4x^2-4x+7
f(x)=1/4x^2+4
f(x)=1/4x^2-x+4​

Answers

Answer 1

Answer: f(6) = (6)2 + 1 = 36 + 1 = 37

If we wanted to find and expression for f(g(x)) we could plug in g(x), which is "x - 4" into the function f(x) wherever we see an "x". So:

f(x) = x2 + 1

f(g(x)) = (x - 4)2 + 1 because g(x) is "x - 4"

Step-by-step explanation:


Related Questions

Box A contains 10 pens that are either red or blue in colour. Box B contains 23 pens that are also either red or blue in colour. The number of blue pens in Box B is twice the number of blue pens in Box A while the number of red pens in Box B is thrice the number of red pens in Box A. Write a pair of linear equations using b as the number of blue pens in Box A and r as the number of red pens in Box A.

Answers

Answer:

b + r = 10 - - (1)

2r + 3b = 23 - - (2)

Step-by-step explanation:

Number of Blue pens in box A = b

Number of red pens in box A = r

BOX A :

Contains 10 pens that are either red or blue

b + r = 10

BOX B:

Contains 23 pens that are either red or blue ;

Red pens in box B = 2 tines the number of red pens in box A

Blue pens in box B = 3 times the number of blue pens in box A

2r + 3b = 23

What is the slope of the graph of y-3= -1(x+2)

Answers

Answer:

-1

Step-by-step explanation:

a rectangular canvas covers 225 square inches on a wall. If the canvas has a height of 18 inches then what is the base?

Answers

Answer:

12.5 Sq inches

Step-by-step explanation: 225 is the area and the formula for area is b*h (base times height) and from the problem, you can see that 18 inches is the height. In this case you would do 225/18 which gives you 12.5 sq inches.

La raíz de un número real negativo existe en los reales si y sólo si su índice es:
negativo impar
positivo par
impar
par
real positivo

Answers

Respuesta:

C) impar

Explicación paso a paso:

Solo se puede con un índice impar, ya que al ser negativo su solución no existe en los reales si tiene índice par

The area of a square is greater than the area of the circle by 12 cm^2. Find the length of the side of a square if the area of the circle is 36 cm^2?

Answers

Answer:

Adding 12 to the circle area is equal to the square area.

Or

s2 = 12 + A

Where

s = side of square

A = area of circle

So

s2 = 12 + 36

s2 = 48

Solve this for s to get the side length

On a map, the scale is 1 inch = 5 miles. On the map, the distance between two cities is 6.25
inches. What is the actual distance between the cities?

Answers

Answer:

31.25 miles

Step-by-step explanation:

Find the volume for the regular pyramid.

6 cu. units
12 cu. units
4 cu. units

Answers

Answer:

that does not look like a pyramid

Step-by-step explanation:

Answer:

4 cu. units! I just got this right

Step-by-step explanation:

Can anyone help me with this?: x/-4 - 10 = -5 thank you​

Answers

Answer:

x=-20

Step-by-step explanation:

(x/-4)-10 = -5

-5 + 10 = x/-4

5 = x/-4

5 x -4 = x

-20 = x

x= -20

CHECK

(-20/-4)-10 = -5

5 -10 = -5

Hi, I need help with these. Please PLEASE help!!! Thanks

Answers

1. (10x7)+(6x7)+(11x7)+2(1/2x5.4x11)=248.4cm^2

2. (10x8)+2(11x8)+2(1/2x8.9x11)=353.9ft^2

I’m slow so what’s the answer to these?

Answers

Answer:

0, -8, 2

Step-by-step explanation:

Opposite of 0 is still 0.

Opposite of 8 = -8

Opposite of the opposite of 2: -2 is the opposite, then the opposite of opposite is -(-2) = 2

Find the unit rate. ​

Answers

Answer and Step-by-step explanation:

It is 3 dollar per pound.

To figure this out, you would have to divide each number by 8. This reduces 8 pounds to 1 pound, and 24 dollars to 3 dollars.

#teamtrees #PAW (Plant And Water)

Marela prepared 25.6 liters of concentrated mango juice. Sie plans to pour it in small canister of 0.1 liter capacity. How many canister does she need to prepare?

Answers

256 canisters
You just do number of litres prepared divided by capacity of each canister to find out how many canisters are used

can somebody help me with the problem in the picture :( pleasee

Answers

I think the answer is 5

Answer:

2^3*3*5=120

Step-by-step explanation:

5 is the prime number

Does anyone know this answer??
Choices- 333.50, 63.50, 153.50, 166.75

Answers

Answer: 153.50

180-13.25-13.25 = 153.50

The two acute angles are the same so look for the obtuse.

Answer:

153.50

Step-by-step explanation:

Sum of all interior angles of a triangle is 180°.

Option(1): 333.5 is much greater than 180(sum of all angles). 333.5 + 13.25 + angle P = 180, for all +ve values of angle P.

/_P = 180° - 13.25 - 333.5 , /_P is -ve from this which is impossible(for an angle in triangle)

This is incorrect.

Option(2): As it can observed, /_ R is much greater than 90°. It means, it should be greater than 63.50°.

This is incorrect.

Option(3): 153.50 is greater than 90°. Moreover, if /_ R is 153.5, let /_P be x, then,

=> 13.25 + 153.50 + x = 180°

=> x = 13.25. , which is +ve

So we can say /_P = 153.50

Option(4): if /_ R is 153.5, let /_P be x, then,

=> 13.25 + 166.75 + x = 180°

=> x = 0 , which is impossible(as we can see It's not 0)

Incorrect.

A bag contains 2 beads Are blue 1 of the bead is green 3 of the bead is purple

Answers

Answer:

hope I'm right good luck

Step-by-step explanation:

2x1x3=6 so the rest is 6 which equals 12

Answer:

Step-by-step explanation:

Well there are 12 beads.

2+1+3=6 and that means there are 6 red beads.

Then 6 red beads+3 Purple beads=9 Beads and 9/12 is the same as 3/4 meaning the probability of picking a purple/red bead IS 3/4

Find sin 0, where 0 is the angle shown.
Give an exact value, not a decimal approximation.

Answers

Answer:

Answer: Sin0 = 8/8.5

Step-by-step explanation:

Step-by-step explanation: What we have is a right angled triangle, with two sides given and one angle which is the reference angle (unknown angle).

The Sine of the angle is calculated as

Sin0 = opposite/hypotenuse

We have the opposite side (facing the reference angle) as 8 units and the hypotenuse (facing the right angle unknown), which we shall label as X.

To calculate the hypotenuse, we shall apply the Pythagoras theorem which is,

X² = 3² + 8²

X² = 9 + 64

X² = 73

Adding the square root sign to both sides of the equation, we now have

X = √73

X = 8.5 (approximately)

Now that we have the hypotenuse as 8.5, the Sine of the angle can now be calculated as

Sin0 = opposite/hypotenuse

Sin0 = 8/8.5

When will there be menstruation?
if your answer is correct im gonna brainiest you​

Answers

The menstrual cycle, which is counted from the first day of one period to the first day of the next, isn't the same for every woman. Menstrual flow might occur every 21 to 35 days and last two to seven days. For the first few years after menstruation begins, long cycles are common.

:) hope it helps :)

what the other person said im just answering so they can get brainliest

is {(-7,8),(5,-5),(-7,-3)(3,-4,)} a relation a function
yes or no​

Answers

Answer:

Step-by-step explanation:

A function can only have one y value for any given x value. If there is more than one value of y for a single x value it is said to have failed the ‘vertical line test.

Since there are points (-7,8) and (-7,-3) this is NOT a function.

do you think, in ur own opinion? do you think all lives matter or only blm?

I would say alm and blm but I want to hear from you! :)

Answers

Answer: when a black person heard u say all lives matter they would absolutely hurt you don’t ever say that infront of a colored one

Step-by-step explanation:

Answer:

i thnik all lives matter

Step-by-step explanation:

can anyone help this is due todaaaaaaay

Answers

Answer:

A. 15

Step-by-step explanation:

Use 1/3 multiply length times width times height then divide

A car dealership offers two types of discounts. a car built last year and then receive a $3,500 rebate.

• Discount 2: Take 10% off the original price of a car built this year and then receive a $1,250 rebate. A customer is deciding between two cars.

• Car R was built last year and has an original of $25,340. • Car S was built this year and has an original price of $22.860.

Based on the information, which statement is true?

F The customer would pay $19,324 for Car S.
G The customer would pay $24,073 for Car R.
H The customer would pay $21,824 for Car S.
J The customer would pay $23,107 for Car R.​

Answers

Answer:

The answer would be F

Step-by-step explanation:

Can someone help me out ASAP ?

Answers

Answer:

28  and 152

Step-by-step explanation:

14 + w is the same as which expression?

A
14w
B
14-W
С
W + 14
D
W - 14

Answers

Answer:

I think it's w + 14? :3

AND I THOUGHT I SAW A KUNIMI PFP-

Step-by-step explanation:

:3

hii please help i’ll give brainliest

Answers

C: Bc 3 * c = 3c (plus 7 more) = 7+3c

Answer:

Answer C or "7+3c"

Explanation:

This is because, 7 more would mean its independent on its own side of the plus sign and 3c mean 3 multiplied by ... (any number)

Hope this helps and please mark brainliest!

This composite figure is made up of three simpler shapes. What is the area of
the figure?
10 cm
17 cm
4 cm
4 cm
15 cm
A. 116 square cm
B. 100 square cm
C. 81 square cm
O D. 146 square cm

Answers

Answer:

116

Step-by-step explanation:

Just took test

Answer:

116 brotha

Step-by-step explanation:

A 35-foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building. How far above the ground is the point where the ladder touches the building?

Answers

Answer:

height = 28 feet

Step-by-step explanation:

using the Pythagorean theorem:

height = 35² - 21²

height² = 1225 - 441 = 784

height = 28 feet

A bicycle is on sale at a store for 15% off its original price. The original price, in dollars, of the bicycle is represented by the variable P .
​ Which of the following expressions represents the final sale price, in dollars, of the bicycle?
​ Select the two correct answers.
A p−0.85p
B p−0.15p
C 0.85p
D 0.15p
E p−0.15

Answers

Answer:

B

Step-by-step explanation:

2/3 of the children in a group have a pet dog. Of those who have a dog, 3/4 have a cat as well. What fraction of the children in the group have a dog and a cat?

Answers

Answer:

The  fraction of the children in the group that contains both dog and a cat is [tex]\frac{17}{12}[/tex]

Step-by-step explanation:

The fraction of the children in the group that contains both dog and a cat is presented below:

= Pet dog + cat

[tex]= \frac{2}{3} + \frac{3}{4}\\\\= \frac{8 + 9}{12} \\\\= \frac{17}{12}[/tex]

Hence, the fraction of the children in the group that contains both dog and a cat is [tex]\frac{17}{12}[/tex]

Six more than the quotient of a number be in 30 is greater than three

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer.....

6 more means we are adding.

Quotient means division. What we are dividing is an unknown quantity x and 3.

The final answer is 14. That gives us of the following :-

6 + x/3 = 14

Hope it helps you,

mark me brainliest plz....

Follow me!

x = -0.25 and y = -6
Solve the expression: -7x

Answers

Answer:

1.75

Step-by-step explanation:

-7*-.25

Plug in the given value of x in for the x in the equation

-7(-0.25)= 1.75
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