MATHEMATICS MIDDLE SCHOOL

What is the vertex of the quadratic function f(x) = (x – 6)(x + 2)?

Answers

Answer 1

Answer:

Answer:

The vertex is (2,-16)

Step-by-step explanation:

The given function is $f(x)=(x-6)(x+2)$

We expand to obtain;

$f(x)=x^2+2x-6x-12$

$f(x)=x^2-4x-12$

We complete the squares to obtain;

$f(x)=x^2-4x+(-2)^2-12-(-2)^2$

$f(x)=x^2-4x+(-2)^2-12-4$

$f(x)=(x-2)^2-16$

The vertex form is $f(x)=(x-2)^2-16$

Comparing this to

$f(x)=a(x-k)^2+k$

The vertex is (h,k)= (2,-16)

Related Questions

At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?A. It is a function because at any given time the oven was exactly one temperature.B. It is a function because the oven temperature was the same at different times.C. It is not a function because at any given time the oven was exactly one temperature.D. It is not a function because the oven temperature was the same at different times.
2(1 - 3r) + 3(r + 2) > 5
The current value of a baseball card is 60 times its original value v(in dollars). The baseball card is worth $15. Write and solve an equation to find the original value of the baseball card.
What is the value if the expression 6+18÷3×4
What is 7/9 divided by 2 13/18

-5x + 2y = 9

y= 7x

what's X and what's Y

Answers

X is 1 and Y is 7! Hope this helps!

Hailey records the weights of five dogs of one breed and five dogs of another breed.What can she infer about the weights of Breed 1 dogs and Breed 2 dogs?

Breed 1: {45, 38, 49, 52, 51}
Breed 2: {36, 35, 44, 50, 40}

A.
Breed 1 dogs and Breed 2 dogs have similar weight distributions.

B.
Breed 1 dogs and Breed 2 dogs have somewhat similar weight distributions.

C.
Breed 1 dogs and Breed 2 dogs have no overlap in their weight distributions.

D.
Breed 1 dogs and Breed 2 dogs have identical weight distributions.

Answers

Breed 1 dogs and Breed 2 dogs have somewhat similar weight distributions.

Your answer is B

Welcome again :)

Answer:

B.) Breed 1 dogs and Breed 2 dogs have somewhat similar weight distributions.

Step-by-step explanation:

Which is the population standard deviation of the data set: 10 ,10 ,10 ,10 , 10?a. 0
b. 1
c. 10
d. 5

Answers

The standard deviation is 0

A cylinder is full at 471 cm³ and has a radius of 5 cm. It currently contains 314 cm³ of water.What is the difference between the height of the water in the full cylinder and the height when 314 cm³ of water remains in the cylinder?”

Use 3.14 to approximate pi.

Answers

The answer is 2 cm

Step 1. Calculate the height of full cylinder (h1 = ?)
Step 2. Calculate the height of cylinder that contains 314 cm³ of water (h2 = ?)
Step 3. Find the difference between the height of the water in the full cylinder and the height when 314 cm³ of water (h1 - h2 = ?)

The volume (V) of the cylinder with radius r and height h is:
V = π * r² * h
So, h = V / (π * r²)

Step 1.
h1 = ?

V1 = 471 cm³
r = 5 cm
π = 3.14

h1 = V1 / (π * r²)
h1 = 471 / (3.14 * 5²)
h1 = 471 / (3.14 * 25)
h1 = 471 / 78.5
h1 = 6 cm

Step 2.
h2 = ?

V2 = 314 cm³
r = 5 cm
π = 3.14

h2 = V2 / (π * r²)
h2 = 314 / (3.14 * 5²)
h2 = 314 / (3.14 * 25)
h2 = 314 / 78.5
h2 = 4 cm

Step 3.
h1 - h2 = 6 - 4 = 2 cm

Answer: The answer is 2

Im from k12

Step-by-step explanation:

Pedro is planning to add a text messaging feature to his cell phone plan. he has gathered information about the two different plans offered by his wireless phone company.Plan A: $4.00 per month plus 4 cents for each message.

what would be an accurate table for this equation

Answers

$x-\ number\ of\ messages\n\ny-\ cost\n\n4\ cents=0,04\$\n\ny=4+0,04x\n\nEquation \ is\ y=4+0,04x.$

Final answer:

The table for Pedro's cell phone plan (Plan A) would indicate the total cost based on the $4.00 base fee and an additional 4 cents for each text message. His total cost increases by 4 cents with each additional message sent beyond the base fee.

Explanation:

To create an accurate table for Pedro's potential cell phone plan (Plan A), we need to consider that he will pay a fixed fee of $4.00 each month, plus an additional 4 cents for each text message. Let's create a table where one column represents the number of text messages and the other column reflects the total cost.

0 messages: $4.00 (because he always has to pay the fixed fee, even if he doesn't send any messages)
10 messages: $4.40 (because he pays the fixed fee + 10 messages * 4 cents each)
20 messages: $4.80
30 messages: $5.20
50 messages: $6.00
100 messages: $8.00

Remember, Pedro is being charged per individual message, so his total cost will increase by 4 cents with each additional text message beyond the base fee.

Learn more about Cell Phone Plan here:

brainly.com/question/20116109

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Decimal 0.003 is 1/10 of

Answers

Just multiply the 0.003 by 10 and you'll get the result. The easiest way to multiply such numbers is to move the dot one position to the right (it would be 2 positions if multiplied by 100, 3 by 1000 etc.). You can do the same with dividing, just remember to move to the left then.

So 0.03 is your answer

Hope I Helped!!!

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