Identify the vertex of the quadratic function:
f(x) = -(x - 2)2 – 3

Answers

Answer 1

Answer:

           (2, -3)

Step-by-step explanation:

[tex]f(x)=a(x-h)^2+k[/tex]    vertex form of equation with vertex (h, k)

[tex]\left \big{f(x)=a(x-h)^2+k}\atop \big{f(x)=-(x-2)^2-3}\right\}\implies a=-1\,,\ h=2\,,\ k=-3[/tex]

So vertex of  f(x) = - (x - 2)² - 3 is  (2, -3)


Related Questions

when jamal rides around the circle path 2 times, he travels a distance of 8 pi km. true or false

Answers

false. hope this helps

Select the correct answer.
What is the value of the expression given below?
(8 - 3i) - (8 - 3i) (8 + 8i)

A. -80 - 43i
B. -96 - 37i
C. -96 + 37i
D. -80 + 43i

Answers

Answer is

A. -80 - 43i

Answer:

A | -80 - 43i

(4 - 5y) - 2(3.5 - 8)

Answers

Answer:

5y+13

Step-by-step explanation:

4-5y-2x-4.5= 4-5y-(-9)= 4-5y+9=-5y+(1+9)=5y+13

Answer is 5y +13
Your welcome

solve for x
-1 - 3x = -7

Answers

Answer:

the answer-is 2

Step-by-step explanation:

-1-3x=-7

+1.      +1

-3x/-3=-6/-3

x=2

A bookstore offers a 15% discount to its employees. Suppose an employee has a coupon worth $5 off any item and wants to buy a book that costs $45. What is the final cost of the book if the employee discount is taken first and then the coupon is subtracted?






Answers

Answer:

I think it is $36???

Step-by-step explanation:

45-5= 40

15% of 40 is 6

40-6=36

PLEASE HELP I WILL GIVE BRAINLIEST AND 5 STARS
trapezoid WXYZ is reflected over the x-axis, translated 3 units left, and then rotated 90 degrees about to the origin to yeild trapezoid W'X'Y'Z. What is the relationship between trapezoid WXYZ and trapezoid W'X'Y'Z?
A. congruent but not similar
B. similar and congruent
C. Similar but not congruent
D. not enough informayion to determine the relationship

Answers

Answer

the answer is  C

Step-by-step explanation:

Francis Watson's gross pay is $61,100. He takes a married exemption of $3,000. His state income tax rate is 3.5 percent. How much will be deducted from his weekly paycheck for state taxes?

Answers

Answer:

$39.10

Step-by-step explanation:

in this problem we are  expect to solve for the taxable income and return the tax deductible

given data

gross pay is $61,100

married exemption of $3,000.

the taxable gross pay is

$61,100- $3,000.

=$58100

the tax deductible is 3.5% of pay

=3.5/100*58100

=0.035*58100

=2033.5

since the $2033.5 is the annual tax, in a year we have 52 weeks

therefore

=2033.5/52

= $39.10

You track inventory at a furniture store. On Monday, the delivery truck delivers 15 new mattresses. Your team sells seven mattresses on Monday, two mattresses on Tuesday, zero on Wednesday, and five on Thursday. You receive a new order Friday morning of 15 mattresses. How many mattresses do you now have available?

Answers

Answer:

16

Step-by-step explanation:

m(x)=4x+15; m(x)=7 what is the thing that that makes X=7

Answers

Answer:

x=-2

Step-by-step explanation:

plug x=-2 into 4x+15-> 4(-2)+15-> 7

During the worst periods of hyperinflation in a certain country. The price of food increased at a rate of 15% per month. State wether this is Linear or exponential

Answers

Answer:

exponential

Step-by-step explanation:

Since it is increasing per month at a percentage rate then this is an exponential increase. That is because each time the increase occurs it is adding the percentage on top of the previous month's increase which becomes compounded as the months go on. For example, the price of bread is $10, at the end of the first month the price increases by 15% (1.15 in decimal form since it is increasing)

10 * 1.15 = $11.5

Now it costs $11.50. This is a change of $1.50. The next month it increases by another 15%

11.50 * 1.15 = $13.22

Now it costs $13.22 which is an increase of $1.72. The increase in dollar amount will keep rising every time which makes it an exponential rise.

Jesus asked a group of students to choose their favorite type of movie. The results of the survey are shown in the graph. Based on the graph, how many students in class of 200 would be expected to choose comedy as their favorite movie?

Answers

answer:

100

explanation:

the first bar (horror) is 30%

the second bar (comedy) is 50%

and the third bar (drama) is 10%

so,

i am able to infer that 50% in a class of 200 students would say that their fav movie is comedy and 50% of 200 is 100, so the answer is 100!

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Please help will give brainliest!!

Answers

Since the two triangles have the same interior angles just different sizes F = 71

Answer:

F=71

Step-by-step explanation:

F/X=71

E/Z=49

G/Y=60

the triangle is equal to 180

Pat bought several pens and notebooks at Walgreens. Pens cost 60 cents each and
notebooks cost $2 each. Write an expression for the total amount of money Pat spent
purchasing p pens and n notebooks.

Answers

Answer:

n(2) + p(60) = x

Step-by-step explanation:

Answer:

It would be 0.60p + 2n.

A number minus 12 is 20. *

Answers

Answer:

uh 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Find the slope of the line that contains the coordinate
points (-4, 1) and (1, 4).

Answers

vdhdyeisuagbdxj don't mind this

Which of the following is not a layer of the Earth?

Answers

Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation:

How does the graph of g(x) = −(x − 2)4 compare to the parent function of f(x) = x4?

g(x) is shifted 2 units to the right and reflected over the x-axis.
g(x) is shifted 2 units to the left and reflected over the x-axis.
g(x) is shifted 2 units to the right and 1 unit up.
g(x) is shifted 2 units to the right and 1 unit down.

Answers

Given:

[tex]g(x)=-(x-2)^4[/tex]

[tex]f(x)=x^4[/tex]

To find:

How does the graph of g(x) compare to the parent function of f(x)?

Solution:

The translation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then graph of f(x) reflected over x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]f(x)=x^4[/tex]

[tex]g(x)=-(x-2)^4[/tex]

So,

[tex]g(x)=-f(x-2)[/tex]    ...(2)

From (i) and (ii), we get

[tex]k=-1<0[/tex], it means g(x) reflected over the x-axis.

[tex]a=-2<0[/tex], it means g(x) shifted 2 units to the right .

Therefore, the correct option is A.

Answer:

A. g(x) is shifted 2 units to the right and reflected over the x-axis.

Step-by-step explanation:


Select the words that match the equation.
27 = 3x9*

Answers

Answer:

Step-by-step explanation:

what are the words?

what is the GCF of 8, 24, and 12? A) 8 B) 24 C)12 D) 4 explain please...​

Answers

Answer:

D) 4

Step-by-step explanation:

All three numbers can be divided into whole numbers by 4 and it is the biggest number that all three can be divided by in that manner.

Question 11 of 30
The sides of a square all have a side length of y. Write a simplified area function in terms of y for a rectangle whose length is 4 times the
side length of the square and whose width is 8 units longer than the side length of the square.

Answers

Answer:

16:5

Step-by-step explanation:

I need help in this????

Answers

Answer:

A  integers

Step-by-step explanation:

hope this helps

Brainliest please

Hi! I believe your answer is the last choice: whole numbers. Whole numbers don't include negative numbers, fractions, or decimals, but everything else listed does indeed include negative numbers. I hope this helps you! Good luck and have a great day. ❤️ (By the way, I love your profile picture! :))

Select the correct answer.
The Franzes are purchasing a home for $195,000, and they are using a conventional loan. What is the best estimate for what their down
payment will be?
O A.
$5,850
OB.
$19,500
C.
$39,000
D.
$48,750

Answers

Answer:

39,000

plato

iycrthagdadstmly

A triangular window has area
24 square feet and height six feet.
What is its base? Show work.

Answers

Answer:

The base is 8 square feet

Step-by-step explanation:

Answer:

8 square feet

Step-by-step explanation:

Area of Triangle= 1/2bh

24 = 1/2 x b x 6

24= 3 x b

(divide 3 on both sides)

b= 8

A rectangle has side lengths of 2 5/8 feet and 3 1/5 feet. Find the perimeter of the rectangle. Write your answer as a mixed number in simplest form.

I really need help this is due in 10 minutes PLEASEEE HELPP

Answers

Answer:

11 13/20

Step-by-step explanation:

105/40 + 105/40 + 128/40 + 128/40 = 466/40

the simplest for is 11 13/20

3/5+(−1/4) DIVIDED BY 7/10

Answers

Answer:

0.5

Step-by-step explanation:

Well, first of all, I dislike dividing by fractions, so let's turn these fractions into decimals.

[tex]\frac{3}{5} + \frac{-1}{4} / \frac{7}{10}[/tex]

0.6 + -0.25 ÷ 0.7

Now we an solve.

0.60 - 0.25 = 0.35

0.35 ÷ 0.7 = 0.5

Who here is from London???

Answers

uh this is not tinder

help my brother with this question if you want brainliest
2 - (⅞ - ¾

Answers

Answer:

Here's how to subtract 3/4 from 7/8:

7

8

3

4

So we multiply 7 by 4, and get 28.

Then we multiply 3 by 8, and get 24.

Next we give both terms new denominators -- 8 × 4 = 32.

So now our fractions look like this:

28

32

24

32

Since our denominators match, we can subtract the numerators.

28 − 24 = 4

So the answer is:

0.284, is it right

Use function notation to write G in terms of the parent function F.? F(x)=x^3 and g(x)=-(x+1)^3

Answers

Answer:hey

Step-by-step explanation:

G in terms of the parent function F is given as  F(x) = -g(x-1).

What is a parent function?

A parent function is the simplest function of the family of functions that preserves the definition of entire family.

Now the given functions are,

F(x) = x^3

g(x) = -(x+1)^3

We can see that g(x) is just an opposite of translation of 1 units to the right of F(x), to write g(x) in terms of F(x)

Then we can write,

g(x-1) = -(x-1+1)^3

or, g(x-1) = -x^3

or, g(x-1) = -F(x)

or, F(x) = -g(x-1)

Hence,G in terms of the parent function F is given as  F(x) = -g(x-1).

To learn more about translations:

brainly.com/question/24850937

#SPJ2

Last year, Erin earned $1,497.75. This year, she earned 2.9 times as much as
last year. Which of the following answer choices is the most reasonable
estimate for the amount of money Erin earned this year?*

Answers

Answer:

4,343.475

Step-by-step explanation:

I just multiplied what she earned and how much she is going to make

Is this correct if not explain

Answers

Yes that is correct
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