Mathematics High School

Determine the vertex form of g(x) = x2 + 2x – 1. Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (negative 1, 2), has a vertex at (1, negative 2), and goes through (3, 2). On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3). On a coordinate plane, a parabola opens up. It goes through (negative 3, 2), has a vertex at (negative 1, negative 2), and goes through (1, 2).

Answers

Answer 1

Answer:

the last one I think

Step-by-step explanation:

Determine The Vertex Form Of G(x) = X2 + 2x 1. Which Graph Represents G(x)? On A Coordinate Plane, A

Answer 2

The vertex form of the quadratic equation is:

[tex]g(x) = (x + 1)^2 - 2[/tex]

And the graph can be seen at the end

How to get the vertex form of the quadratic equation?

For a quadratic equation with leading coefficient a, and with vertex (h, k), the vertex form is:

[tex]y = a*(x - h)^2 + k[/tex]

Here we have:

[tex]g(x) = x^2 + 2x - 1[/tex]

First, we need to find the vertex. by using the known formula we get:

[tex]h = -2/(2*1) = -1[/tex]

To get the value of k, we need to evaluate g(x) in x = -1.

[tex]g(-1) = (-1)^2 + 2*-1 - 1 = 1 - 2 - 1 = -2[/tex]

So the vertex is (-1, -2), which means that the vertex form is:

[tex]g(x) = (x + 1)^2 - 2[/tex]

And its graph can be seen below.

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Related Questions

i need the answers asappp!!!!

Answers

Answer:

Part A:y=4,1,0,1,4

Step-by-step explanation:

Mark me as brainliest

Lin's Job pays $8.25 an hour plus $10 of transportation allowance ench week. She has to work at least 5 hours a work to keep the job, and can earn up to $175 per week (including the allowance) Write an Inequality for this situation

Answers

Answer:

x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

Step-by-step explanation:

Let Lin works x hours per week.

Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week to $175 per week.

So, the inequality that can be written from the above condition is x ≥ 5 .......(1)

And the equation that can be written that

8.25x + 10 = 175 ....... (2)

Now, fro equation (2) we can write x = 20 hours which satisfies equation (1).

The inequality of the situation is x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Let Lin work x hours per week. Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week for $175 per week.

So, the inequality that can be written from the above condition is,

x ≥ 5 .......(1)

And the equation that can be written that

8.25x + 10 = 175 ....... (2)

Therefore, the inequality of the situation is x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

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Is 5 a rational number

Answers

Answer:

Yes, 5 is a rational number.

Answer:

yes it is a rational number

a line with a slope of -4/3 passing through (4, -8)

Answers

5, -3 reason why you have to find the X and the Y

Find Each Sum Or Difference.
1) 12 + (- 3)
2) -7 + 4
3) -8 + (- 6)
4) -42 + 15
5) 32 - ( - 8)
6) -18 - 12
7) -15 - (-14)
8) -76 - 5

Answers

Answer:

1) 9

2) -3

3) -14

4) -27

5) 40

6) -30

7) -1

8) -81

Each Sum Or Difference:- (1). 9 (2). -3 (3). -14 (4). -27 (5). 40 (6). -30 (7). -1 (8). -81

As we know,

Suppose a and b be two numbers then to find the sum or difference of these two, we can follow some conditions that are given below:

+ or - becomes - and the answer has a sign of greater one from them

+ or + becomes + and answer has +ve sign

- or + becomes - and the answer has a sign of greater one from them

- or - becomes + but the answer has a -ve sign

Then, according to the above conditions the solutions are given below:

1). 12 + (-3) = 9

2). -7 + 4 = -3

3). -8 + (-6) = -14

4). -42 + 15 = -27

5). 32 - (-8) = 32 + 8 = 40

6). -18 - 12 = -30

7). -15 - (-14) = -15 + 14 = -1

8). -76 - 5 = -81

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over a four year period lakeisha thompson purchased shares in the oakmark i fund

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : $6000

Step-by-step explanation:

A) calculate the total amount invested at the end of four years

∑ invested amount for four years

= $1500 + $1500 + $1500 + $1500

= $6000

The use of the dollar cost of averaging helps to minimize the cost of shares and as well as prevent the effects of the sudden moves of shares value

6x + 7x = 39 helppppppppppppppp

Answers

Answer:

x = 3

Step-by-step explanation:

Please help me with this problem

Answers

Answer:

asa

Step-by-step explanation:

if x^2 = 30, what is the value of x?

Answers

Answer:

it would be the square root of 30 because it doesnt simplify im pretty sure

Step-by-step explanation:

Answer:

hey! the answer is 5.47722557505

Step-by-step explanation:

this is because you just take the square root of 30 :)

Which represents the equation 6 x + 3 y = 12 when solved for y?
y = negative 2 x + 4
y = 2 x + 4
y = negative 2 x minus 4
y = 2 x minus 4

Answers

Answer:

y=(-x+2)

Step-by-step explanation:

6x+3y=12

6x+3y-6x=12-6x Subtracting 6x from both sides

3y=12-6x Simplifying

3y/3=12/3-6x/3 Divide both sides by 3

y=(-x+2) Simplifying

Answer:

the answer is C. y=2x+4

have a good day <3

remember to take care of yourself :)

Step-by-step explanation:

Under the following translation, (x,y) becomes (x+3, y-2) the point (3,6) will become _____.

Answers

Answer:

(6,4)

Step-by-step explanation:

x+3=

3+3=6

y-2=

6-2=4

Which graph represents the function f(x) = 4|x|?

Answers

Answer:

pick a graph from google

Step-by-step explanation:

there is prablly some u can pick from

Answer:

graph B

Step-by-step explanation:

i used desmos graphing calc

We say that the design of a study is biased if

Answers

Answer:

The design of a study is biased if it systematically favors certain outcomes.

Can i have brainliest

Find x if 75% of x = 27.

Answers

that is the answer

Answer:

36%

Step-by-step explanation:

"Percent'' or ''%'' means ''out of 100'' or '' per 100'',

Therefore x% can be written as x/100.

So we can write and solve for x;

27/75= x/100

100 X 27/75 = 100 X x/100

2700/75 = 100 X x/100

36=x

27/75= 36/100= 36%

Hope this helped

Please help me on thissss

Answers

Answer:No its not a function

Step-by-step explanation:

A line has a slope of 1 and passes through the point (3, 6). What is its equation in
slope-intercept form?

Answers

Answer:

y=x+3

Step-by-step explanation:

y=x would go through (3,3)

adding 3 to the y-int would make it go through (3,6)

which shape has at least one 1 right angle

Answers

What do squares, rectangles, and right triangles have in common? They all contain at least one right angle!

What shape has at least one right angle?

rectangle

A rectangle is a four-sided shape where every angle is a right angle (90°). Also, the opposite sides are parallel and of equal length.

The shapes which contain at least one right angle from the given shapes are the first and third figures.

Given are four shapes.

It is required to find the shape with at least one right angle.

Now, right angles can be defined as the angle whose measure is exactly 90 degrees.

Anything measure of angle which is less than or greater than 90 degrees is not a right angle.

Consider the first figure.

There are 2 right angles marked in squared shape inside the shape in the right part.

So, the first figure contains the right angle.

In the second figure, all angle measures are 108 degrees. So none is a right angle.

In the third figure, all the angles are right angles since all are marked as squares.

In the last figure, the angle measures are only 73° and 107°. So, this is not right angles.

Hence, the options are first and third figures.

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The complete question is given below:

Karen owns a seafood restaurant. She orders trout from an online retailer. Each pound of trout costs $28, and the company charges a $4 fee for shipping the order. However, if Karen orders 10 or more pounds, the trout costs only $22 per pound, but the shipping fee is $8.

Which piecewise function models the cost of x pounds of trout?

Answers

Answer:

28x + 4, 0 < x < 10

22x + 8, x ≥ 10

Step-by-step explanation:

The piece wise function models the cost of x pounds of trout will be 28x + 4, 0 < x < 10 and 22x + 8, x ≥ 10.Option A is correct.

What is a function?

A connection between independent variables and the dependent variable.is defined by the function.

Given data;

Trout costs for each pound are, $28,

Shipping charges,$4

x is the number of orders

Given condition;

Karen orders 10 or more pounds, the trout costs only $22 per pound, but the shipping fee is $8.

Functions help to represent graphs and equations. A function is represented by two variables one is dependent and another one is an independent function.

The total amount is found as;

⇒No of orders × price of trout per pound + shipping charge per order

⇒28x + 4,

For condition 2 the total value is represented as;

⇒No of orders × price of trout per pound + shipping charge per order

⇒ 22x + 8

The piece wise function models the cost of x pounds of trout will be 28x + 4, 0 < x < 10 and 22x + 8, x ≥ 10.

Hence, option A is correct.

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Xenia has 100,000,000 people. Of this population, 25,000,000 residents are below age 16, and 10.000,000 have given up looking for work. Currently, 15,000,000 people are unemployed but are actively looking for work, and the rest are fully employed. What is the unemployment rate?

Answers

Answer: 45000

Step-by-step explanation:

The unemployment rate should be 23.1%.

The calculation is as follows;

Total Labour Force = Total Population - People are Below 16 Years of Age - Unemployed People Not Looking for Work

= 100,000,000 - 25,000,000 - 10,000,000

= 65,000,000

Now

Employment Rate = Unemployed People Actively Looking For work ÷ Total Labour Force

= 15,000,000 ÷ 65,000,000

= 23.1%

Step-by-step explanation:

I just took the test

Have a nice day!

Write a linear function f
with f(0)=7
and f(3)=1
.

Answers

Start with

y = mx + b

Now use the 2 given points to find m and b.

7 = m(0) + b
b = 7
1 = m(3) + 7
m = -2

f(x) = -2x + 7

whats the slope of (10,9),(1,2)

Answers

Answer:

-7/-9

Step-by-step explanation:

m=y2-y1/x2-x1

2-9=(-7)

1-10=(-9)

-7/-9

hope this helps :3

if it did pls mark brainliest

PLEASE HELP URGENT WILL MARK AND 5 STARS

Answers

Answer: a

Step-by-step explanation: go back to 1 grade (sorry)

Will anyone please answer my questions? qwq they're kind of important since they're for an assignment that's due today...
and thank you...

ps, I can nominate whoever with a brainlest if you'd like :3

Answers

Answer:

I answered a few.

Keri is simplifying 5·10−3 which is equivalent to 8/10^-2

Answers

Answer:

Step-by-step explanation:

Answer:

I just did this test the answer is A, 800.

Step-by-step explanation:

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