1) Graph the quadratic function given in standard form and identify the key features. Include at least 5 points on your
graph.
y = -x2 - 2x + 1
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:

1) Graph The Quadratic Function Given In Standard Form And Identify The Key Features. Include At Least

Answers

Answer 1

Answer:

Please find attached the graph of the quadratic function is created using Microsoft Excel

1) The line of symmetry is x = -1

2) The vertex is (-1, 2)

3) The y-intercept is (0, 1)

4) The domain is -∞ ≤ x ≤ ∞

5) The range is 2 ≥ y ≥ -∞

Step-by-step explanation:

The given equation is y = -x² - 2·x + 1

The general vertex form is y = a·(x - h)² + k

h = -b/(2·a) = 2/(-2) = -1

k = f(h) = -(-1)² - 2×(-1) + 1 = 2

Therefore;

1) The line of symmetry goes through the vertex and the line of symmetry is x = -1

2) The vertex = (h, k) = (-1, 2)

3) The y-intercept is the coordinate of the point where x = 0 which is  (0, 1)

4) The domain are the possible x-values, therefore, the domain = -∞ ≤ x ≤ ∞

5) The range is the possible values y-values.

From the graph, we have the range = 2 ≥ y ≥ -∞

The graph of the quadratic function is created using Microsoft Excel by generating y-values based on the equation and using the graphing function to insert a two dimensional graph of the generated combination of x and y values as shown in the attached figure.

1) Graph The Quadratic Function Given In Standard Form And Identify The Key Features. Include At Least

Related Questions

Please help! I will give brainliest (or however you spell it) to whoever gives me the answer!

Answers

Answer:

CDF is scaled down by a factor of 1/2 of ABC

Step-by-step explanation:

Answer:

AAA (angle angle angle) property.

Step-by-step explanation:

Maroon angle x in the first triangle is equal to the the Maroon angle x in the second triangle and the Orange angle y in the first triangle is equal to the Orange angle y in the second triangle with respect to the property of corresponding angles, and the third angle is 90° which is common between the two triangles hence AAA property is applied because all three angles are similar.

Solve the system of equations.
10y + 7x = 29
- 5y - 9x = 2
X=
Y=

Answers

Answer:

y=1.5

x2

Step-by-step explanation:

I swear to fueledbrightspace, I’m gonna refresh you intil you let me get to my test!

Hi I’m just kinda mad so someone, take these points.

Answers

hello thank you for the free points :3

Answer:

Whoa,

Step-by-step explanation:

Thank you so much for the points! hope your day gets better:)

Midland Electronics is advertising that everything in their store is 10% off. If p represents the origin

their store, then the sale price of the item can be represented by the expression p-01p.

A

Write an equivalent expression to represent the sale price of the item.

B. Using complete sentences, describe how the sale price can be found in two different ways.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Sales discount = 10%

If original price of items = p

Hence, the sales price of the item can be represented as :

(100% - percentage discount) * sales price

(100% - 10%) * p

90% * p

0.9p

B.)

(1) By subtracting the offered percentage discount (10%) from the full percentage cost (100%) and then multiplying the result by the original cost of the item.

(11.) by obtaining discount amount (10% of the original price) , and then subtracting the discounted amount from the original price of the item.

Determine which function produces the same graph as fx (x) = (8 2/3 x ) (16 1/2 x ). f(x) = 4x f(x) = 42x f(x) = 83x f(x) = 162x

Answers

The function that produces the same graph is [tex]f(x) = 4^{2\ x}[/tex]

An exponential function is represented as:

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

Where:

a represents the initial valueb represents the rate

So, by comparison:

The initial value of the function is 1The rate of the function is 4^2 or 16

See attachment for the complete solution

Hence, the function that produces the same graph is [tex]f(x) = 4^{2\ x}[/tex]

Read more about functions and graphs at:

https://brainly.com/question/13136492

Which number can be added to rational number to explain that the sum of two rational numbers is rational

Answers

Answer:

Another rational number

Step-by-step explanation:

Here, we want to get the type of number that should be added to a rational number to explain that the sum of two rational numbers is rational

What we simply have to do here is to add another rational number to the rational number we have already

By adding another rational number to the rational number we have, we will get another rational number

That has successfully proven what we are trying to prove

I need help!!!ASAP if you can help that would be great

Answers

Answer:

6^-6 and 1/6^6

Step-by-step explanation:

Note that (n^a)/(n^b) = n^(a-b) and n^-a = 1/n^a

Therefore, 6^-10/6^-4 = 6^(-10+4) = 6^-6 = 1/6^6

We have our answer: 6^-6 and 1/6^6

I hope this helps! :)

Farmer sold 35% of its peaches and had 280 remaining. How many did he have to start

Answers

Answer:

430 peaches

Step-by-step explanation:

Calculation for How many Peaches did he have to start

Using this formula

Peaches at hand=Remaining Peaches/(100%-Percentage of peaches sold)

Let plug in the formula

Peaches at hand=280/(100%-35%)

Peaches at hand=280/65%

Peaches at hand=430 peaches

Therefore the numbers of Peaches he have to start with is 430 peaches

Scooter the clown buys flower hats for $27 each and plain hats for $22 each. If he spends a total of $250 on hats, how many hats have flowers?

Answers

Answer:

6 Flower hats

Step-by-step explanation:

If you are asking for whole number answers, then the answer is 6 Flower hats.

check:

6X27=162 and 4 plain hats, 4X22=88, 162+88=250.

hope it helps!

The required number of hats with flowers is 6.

Given that,
Scooter the clown buys flower hats for $27 each and plain hats for $22 each. If he spends a total of $250 on hats, how many hats have flowers is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
let the hat with flower be x and the plain hats be y,
Total number of hats = 10
x + y = 10 - - - - - (1)
According to the question,
27x + 22y = 250 - - - - -(2)
Solving equation 1 and 2
gives
x = 6 and y = 4

Thus, the required number of hats with flowers is 6.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

I need help with Geometry

Answers

the answer is no because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Answer: no
Why: The sum of two side lengths must be longer then the other side length

Hope this Helps :D

Can someone help me hurry?

Answers

Positive 2 hope that helps!

please help with both! :)

Answers

Answer:

Step-by-step explanation:

for table the equation is

A)   y = 2x + 5

for graph equation is

y = 1/2x -1

PLEASE help me (30 points!!!!!!) I will give brainliest so please help me please
An investment grows according to the function A=P(1.05)t where P represents the initial investment, A represents the value of the investment and t represents the number of years of investment. If $10,000 was the initial investment, how much would the value of the investment be after 10 years to the nearest dollar?

Answers

Answer:

105,000 dollars

Step-by-step explanation:

According to your formula, we just mulitply 10,000 times 10 times 1.05 and we get 105,000.

You have saved $40 for a video game and your parents will contribute some money. They said they will give you $1 for every $4 you save. How much have they contributed

Answers

Answer:

They contributed $8

Step-by-step explanation:

Given

[tex]Savings = \$40[/tex]

Proportion of savings: [tex]Parent = \$1[/tex]   [tex]You = \$4[/tex]

Required

Determine your parent contribution

From the question, we understand that, they contribute $1 when you save $1.

This means that the unit savings is:

[tex]Unit = \$4 + \$1[/tex]

[tex]Unit = \$5[/tex]

The parent contribution is then calculated as:

[tex]\frac{Parent\ Proportion}{Unit\ Savings} * Total\ Savings[/tex]

[tex]= \frac{\$1}{\$5} * \$40[/tex]

[tex]= \frac{1}{5} * \$40[/tex]

[tex]= \frac{1* \$40}{5}[/tex]

[tex]= \frac{\$40}{5}[/tex]

[tex]= \$8[/tex]

Hence, they have contributed $8

HELPP!! WHAT ARE THE ANSWERS??!​

Answers

Answers:

1.  D2. B

===========================================

Explanation:

You could graph these by hand by determining a bunch of points to plot, but that method is a bit tedious and error prone. I recommend using technology. I used GeoGebra which is a graphing program to get the job done. See the attached image below.

How many inequalities are in a system of inequalities?

Answers

Answer:

5

Step-by-step explanation:

There are five inequality symbols used to represent equations of inequality. These are: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠).

please help me with these three ​

Answers

13) parallel because they have a same gradient of 4

14) neither because the gradients multiply together to only get 1

15) perpendicular because the gradients multiply together to get -1

What is the quotient of 6 and Negative one-half?
–12
Negative StartFraction 1 over 12 EndFraction
StartFraction 1 over 12 EndFraction
12

Answers

Answer:

-1/12

Step-by-step explanation:

Answer: B

Step-by-step explanation: EDGE 2022

find f(3) if f(x)=2x+4

Answers

Answer:

f(3) = 10

Step-by-step explanation:

If x = 3 then fill in the x's on the original equation and solve;

f(x) = 2x + 4

f(3) = 2(3) + 4

2 x 3 = 6

6 + 4 = 10

So, f(3) = 10

Hope this helps!!!

y = -2x + 7 and y = 3x – 8

Answers

Answer: x=3 and y=1

I'm not sure if that's the answer you wanted.

Need help with this if anyone can

Answers

9514 1404 393

Answer:

  7.0

Step-by-step explanation:

The relationship of interest is ...

  Tan = Opposite/Adjacent

  tan(25°) = x/15

  x = 15·tan(25°) ≈ 6.9946

  x ≈ 7.0

The stock of Company A gained 3% today to $31.93. What was the opening price of the stock in the beginning of the day?

Answers

Answer:

$31

Step-by-step explanation:

100% + 3% --- $31.93

103% --- $31.93

100% --- [tex]\frac{100}{103}[/tex] × $31.93 = $31

please help ASAP !!!!!!!

Puan Kartini bought (5x - 4) kg of red chillies with the price of RM3x per kg. The total payment she paid is RM192. Calculate the mass, in kg, of the red chillies she bought.​

Answers

Answer:

16 kg

Step-by-step explanation:

Mass = (5x - 4) kg

Unit Price = 3x/kg

Total Price = mass * unit price

Total Price = (5x - 4)kg * 3x/kg

Total Price = 15x^2 - 12x

Total Price = 192

15x^2 - 12x = 192

15x^2 - 12x - 192 = 0

5x^2 - 4x - 64 = 0

ax^2 + bx +c = 0

ac = 5(-64) = -320

ac = -20 * 16

-20 + 16 = -4

5x^2 - 20x + 16x - 64 = 0

5x(x - 4) + 16(x - 4) = 0

(x - 4)(5x + 16) = 0

x - 4 = 0   or   5x + 16 = 0

x = 4   or   5x = -16

x = 4   or   x = -3.2

x cannot be negative because it would give a negative unit price, so we discard the negative answer.

x = 4

mass = 5x - 4 = 5(4) - 4 = 20  4 = 16

Answer: 16 kg

what is the solution

Answers

Answer:

m =40

Step-by-step explanation:

m/4 -3 = 7

Add 3 to each side

m/4 -3+3 = 7+3

m/4 = 10

Multiply each side by 4

m/4 *4 = 10*4

m = 40

What is the slope of the line y = 5x? Just write the
number for your answer.

Answers

Answer:

5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

y = 5x

Step 2: Break Function

Identify Parts

Slope m = 5

y-intercept b = 0

What is one tenth less than 0.7 in decimal form

Answers

Answer:

0.6

Step-by-step explanation:

one tenth is

[tex]\frac{1}{10}=0.1[/tex]

so we subtract

[tex]0.7-0.1=0.6[/tex]

PLEASE PLEASE HELP I WILL GIVE BRAINALIST AND EXTRA POINTS

Answers

Answer:

6

Step-by-step explanation:

Rachel's cost = $35x + $15  

Taylor's cost = $25x + $75

When are the costs equal? Rachel's cost = Taylor's cost?

35x + 15 = 25x + 75

35x - 25x = 75 - 15

10x = 60

x = 6

Check Rachel's 6 month cost is: 35 x 6 + 15 = 225

Check Taylor's 6 month cost is 25 x 6 + 75 = 225

when a three-dimensional figure is exended infinitely in all directions,which of the following best describes what is formed?​

Answers

Answer:

2

Step-by-step explanation:

simplify: 3a+4b+5a+10b
honestly don't understand this at the moment

Answers

Answer:

Let me try...

Step-by-step explanation:

let's combine like terms first to simplify the equation

we need to only combine the variables with the same variable.

3a+5a would make 8a

and 4b+10b would be 14b

but we cannot combine 8a and 14b

so the equation remains as 8a+14b

Final Answer: [tex]8a + 14b[/tex]

Steps/Reasons/Explanation:

Question: Simplify [tex]3a + 4b + 5a + 10b[/tex].

Step 1: Collect like terms.

[tex](3a + 5a) + (4b + 10b)[/tex]

Step 2: Simplify.

[tex]8a + 14b[/tex]

~I hope I helped you :)~

If D is the midpoint of BA, and E is the midpoint of BC, What is there formal geometric name for DE in ABC?

Answers

Answer:

hmmmmmmmmm...

Step-by-step explanation:

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