Rewrite the function f(x)=4(x-2)²-8 in the form f(x)=ax²+bx+c.

Answers

Answer 1

Answer:

4[tex]x^{2}[/tex]-16x+8

Step-by-step explanation:

4(x - 2)(x - 2) - 8 = 4([tex]x^{2}[/tex] - 4x + 4) - 8 = 4[tex]x^{2}[/tex] - 16x + 16 - 8 = 4[tex]x^{2}[/tex] - 16x + 8.

Answer 2

Answer:

[tex]f(x) = 4x^2 -16x + 16[/tex]

Step-by-step explanation:

f(x)=4(x-2)² Simplify.

f(x) = 4x^2 - 16x + 16

Form f(x)=ax²+bx+c.

f(x) = 4x^2 - 16x + 16


Related Questions

White as an algebraic expression: the sum of 3 and the product of p and 7

Answers

Answer:

The answer is 3 + p × 7.....

.

Solve the inequality 1/3(x-6)>2

Answers

Answer:

x>12

Step-by-step explanation:

1/3(x-6)>2

distribute 1/3

1/3x-2>2

add 2 to both sides

1/3x>4

multiply both sides by 3

x>12

Input. Output
2. 10
4. 18
6. 22

Answers

What’s the question?

Answer:

incomplete question

Step-by-step explanation:

one divided by eight over nine

Answers

[tex]\frac{1/8}{9}[/tex] is the answer.

Brainiest if possible? thnx

a. If a polygon is a square, then it is a rectangle.
CONVERSE:
Tor F?
b. If a polygon is a rectangle, then it has four 90°
angles.
CONVERSE:
Tor F?
c. If a shape is a rectangle, the formula for its area is
base times height.
CONVERSE:
Tor F?

Answers

Answer:

a. If a polygon is a rectangle, then it is a square

False

b. If a polygon has four 90 degree angles, then it is a rectangle

True

c. If the formula for a shape's area is base time height, it is a rectangle

False

What ratio in simplest form. 36:12

Answers

Uh uh uh uh uh 3:1??

Elena and jada are going home. Elena runs at a constant speed of 4 miles per hour, and jada walks at a constant speed of 2 miles per hour. How far will each one be after 1.5
hours

Answers

Answer:

Elena will run 6 miles in 1.5 hours

Jada will walk 3 miles in 1.5 hours

Step-by-step explanation:

Multiply: 4*1.5=6 (Elena's)

Multiply:2*1.5=3  (Jada's)

Elena will run 6 miles in 1.5 hours

Jada will walk 3 miles in 1.5 hours

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Please correct me if I'm wrong

I need help please !! I'll give brainliest ♥

Answers

x is equal to 30 , hope this helped , triangles are equal to 180 therefore you subtract 97 and 53 and you get 30

3x-4/5=-1/2 what is the value of x ? ​

Answers

Answer:

the value of x is 0.1

Step-by-step explanation:

i hope this helped

have a good day

How many coins are in each pouch?

Answers

Answer:

14

Step-by-step explanation:

0 because if you count them all both sides have 14 coins outside of pouches

what is (3z+1) + (5+7z)

Answers

the answer is:

10z+6

hope this helps :)

A farmer's annual income is represented by the variable x. The farmer will pay 25% of his income for federal taxes and 9% of his income for state taxes. Which two expressions represent the amount of money the farmer will have after paying these taxes?




0.34x


0.66x


1 – 0.34x


x – 0.34x


x(0.25 + 0.09)



Answers

Answer:

x - 0.34x

Step-by-step explanation:

time spent fishing and the amount of bait in the bucket

Answers

Is this a math problem? I don’t see a picture.

Answer:

not proper information is given

What is the length of r and t ?

Answers

Correct answer is going to be D

A system of equations is shown below. y = 2x - 9 y = x + 3 What is the solution to the system of equations?​

Answers

Answer:

Well, you would need to graph both, and you can see they intersect at the point (12,15)

Find the sum of the arithmetic series given a1
12, d = 4, and n = 30.
A. 8434
B. 4200
C.4216
D. 2100

Answers

Answer:

D

Step-by-step explanation:

The sum to n terms of an arithmetic series is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12, d = 4 and n = 30 , then

[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]

     = 15(24 + 116)

     = 15 × 140

     = 2100 → D

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.

What is the Sum of arithmetic series?

The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows

Sn = n/2 [2a₁ + (n-1)d].

as given in the problem

a₁ =12, d = 4, and n = 30

Sn = 30/2 [2×12 + (30-1)×4]

    = 2100

The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.

Learn more about the arithmetic series from here

https://brainly.com/question/16415816

#SPJ5

14. Which is the equation of the line that passes through the points (4, 3) and (6, 2)?
A. y = x –1
B. y = 0.5x –1
C. y = -0.5x + 5
D. y = -0.5x + 1

Answers

Answer:

D (sorry if I’m work)

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

The equation of the line is y = -0.5x + 5

Option C is the correct option.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of the line y = mx + c.

The line passes through (4, 3) and (6, 2).

This means,

We can find the slope using the coordinates (4, 3) and (6, 2).

Slope = m

m = (2 - 3) / (6 - 4)

m = -1 / 2

Now,

For the y-intercept.

Take any point.

(4, 3) = (x, y)

y = mx + c

3 = (-1/2)4 + c

3 = -2 + c

3 + 2 = c

c = 5

Now,

m = (-1/2) = -0.5

c = 5

The equation of the line is y = -0.5x + 5

Thus,

The equation of the line is y = -0.5x + 5

Option C is the correct option.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

I need help- Badly I forgot how to do this- yikes

Answers

Answer:

Step-by-step explanation:

An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)

A ladder is103 inches tall. How tall is it in feet and inches?

Answers

Answer:

8.58333

Step-by-step explanation:

round to 8.6 feet

Answer:

8 foot and  5 inches

Step-by-step explanation:

12 (3 + 4) =

36 + 48
0.84
123 + 124
15 + 16

Answers

36+48 is the only right answer here
12(3+4)= 84
36+48=84
123+124=247
15+16=21

PLEASE HELP ME ?!?!?!

Answers

Answer:

19

Step-by-step explanation:

6x-10=3x+50
3x=60
x=20

hope this helps !

Answer the fist question shown asap

Answers

We can draw the line y = 1 and reflect the triangle XYZ over it.

Sound fruit seller earns a $0.40 profit for each Apple that it sells and a $0.40 profit for each bananas at its cells which expression shows Sam's total profit from selling apples and bananas

Answers

Answer:

[tex]P= 0.4x+ 0.4y[/tex]

Step-by-step explanation:

Given data

Profit from apple= $0.4

Profit from banana= $0.4

Let the number of Apples sold be x, and the number of bananas sold be y

and the total profit be P

Hence the expression for the total profit is given as

[tex]P= 0.4x+ 0.4y[/tex]

Y varies inversely with x, if y = -12 when x = 8 what is x when y = -9

Answers

Answer:

either 5 or 11

Step-by-step explanation:

(8, -12)

(5, -9) or (11, -9)

If y varies consistently with x then it would copy what happens, in a manner of speaking.

In this case, y increases by three, x would either add 3 or subtract 3

I am not completely sure on this.

HELP
Question 6 (1 point)
How likely is it for the spinner to land on a C?

There is a
% chance the spinner will land on a C.
Blank 1:

Answers

Answer:

The likeliness to land on C is 1/2

Step-by-step explanation:

hope this helps

PLS HELP IM TIMED!!
The sum of the measures of all the interior angles of a regular dodecagon
is 1800°. What is the measure of each of its interior angles?
- A) 150°
- B) 160°
- C) 180°
- D) 192°

Answers

Answer:

A) 150°

Step-by-step explanation:

Hope I helped you

Answer:

its A

Step-by-step explanation:

Write the equation of the line given a slope of 0 through the point (5, -7)

Answers

a line with a slope of 0 is a horizontal line
so the equation would be y=-7

Answer:

y=-7x+5

Step-by-step explanation:

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17

Step-by-step explanation:

The answer is for your question is 17

The original price of a jacket is $70. The sale price is 30% off the original price. What is the amount off the original price (discount)? How much will you pay for the jacket with the discount?

Answers

Answer:

$49

Step-by-step explanation:

$70 - 30% = $49

Answer

its 47$

Step-by-step explanation:

You divide the number by the percentage which in this problem would look like 0.30 and then you move the decimal to the left once after you get your answer this is about

cual es la superficie de un rectangulo de 10 cm por 4 cm?​

Answers

Answer:

10x4=40

Step-by-step explanation:

se calcula multiplicado la base por la altura luego de haber multiplicado esto (10 x 4) el resultado es 40

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