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:
the last one I think
Step-by-step explanation:
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
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)
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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a line with a slope of -4/3 passing through (4, -8)
Answers
Write a linear function f
with f(0)=7
and f(3)=1
.
Answers
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
Please help me with this problem
Answers
Answer:
asa
Step-by-step explanation:
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.
F(x)=-2x+6 f(-5) step by step
Answers
Answer:
f(x=16
Step-by-step explanation:
f(-5)=-2(-5)+6
f(-5)=10+6
f(-5)=16
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%
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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
Please help me on thissss
Answers
Answer:No its not a function
Step-by-step explanation:
Select Proportional or Not Proportional to correctly classify each pair of ratios.
Proportional Not Proportional
1636 and 49
Proportional – 16 36 and 4 9
Answers
Answer:
Not Proportional
Step-by-step explanation:
Answer:
Proportional
Step-by-step explanation:
I just took the test
Have a nice day!
PLEASE HELP URGENT WILL MARK AND 5 STARS
Answers
Answer: a
Step-by-step explanation: go back to 1 grade (sorry)
Keri is simplifying 5·10−3 which is equivalent to 8/10^-2
Answers
Answer:
c
Step-by-step explanation:
Answer:
I just did this test the answer is A, 800.
Step-by-step explanation:
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:
i need the answers asappp!!!!
Answers
Answer:
Part A:y=4,1,0,1,4
Step-by-step explanation:
Mark me as brainliest
Given two triangles △ABC and △A′B′C′ so that AB = A'B′ (Side), m∠A = m∠A′ (Angle), AC = A ′ C ′(Side). Then the triangles are congruent.
USE STATEMENTS AND REASONS
Answers
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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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:
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
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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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
6x + 7x = 39 helppppppppppppppp
Answers
Answer:
x = 3
Step-by-step explanation:
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
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 :)
Is 5 a rational number
Answers
Answer:
Yes, 5 is a rational number.
Answer:
yes it is a rational number
Probabilidad de eventos mutuamente excluyentes
Answers
Answer:
bbbhh
Step-by-step explanation:
Answer:
Eventos mutuamente excluyentes
Si dos eventos son disjuntos, entonces la probabilidad de que ambos ocurran al mismo tiempo es 0. Si dos eventos son mutuamente excluyentes, entonces la probabilidad de que ocurra cualquiera es la suma de las probabilidades de que ocurra cada uno.
I need actual help is anyone great at Algebra 1 because I understand nothing
if you are not please don't answer
Answers
Answer:
submarine traveled 100 miles in 5 hours.Ship traveled 80 miles in 4 hours.
Step-by-step explanation:
Find x if 75% of x = 27.
Answers
36
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
Nina is 10 years younger than Deepak. Deepak is 3 times as old as Nina. Which system of equations can be used to find d, Deepak's age, and n, Nina's age?
d = n + 10
d = 3n
d = n − 10
d = 3n
d = n + 10
n = 3d
d = n − 10
n = 3d
Answers
Answer:
I believe the answer is a
Step-by-step explanation:
Answer:
I think the anwer is a but im not sure
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