Use the graph of the function f(x) - (x + 1)2 + 2. Identify the vertex and
the axis of symmetry.
Answers
Answer:
x = –1 AND (-1,2)
Step-by-step explanation:
The axis of symmetry is x = –1
and the vertex is (-1,2)
i know this because the graph is on -1, 2
and I also took the quiz hope it helps ;)
The vertex of the function is (-1, 2).
The axis of symmetry of the function is -1.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = (x + 1)² + 2
f(x) = x² + 2x + 1 + 2
f(x) = x² + 2x + 3
Now it is in the form of ax² + bx + c
a = 1
b = 2
c = 3
The coordinate of the Vertex of the function is (-b/2a, f(x)) = (x, y)
-b/2a = -2/2 = -1
f(x) = (-1)² + 2 x (-1) + 3 = 1 - 2 + 3 = 4 - 2 = 2
Vertex = (-1, 2)
The axis of symmetry is the x-coordinate of the vertex.
= -1.
Thus,
Vertex is (-1, 2).
The axis of symmetry is -1.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
Related Questions
A loggerhead sea turtle decided to swim to grab some lunch! She swam 4 miles west and 3 miles south until she stopped and found a delicious crab to eat. What is the distance between the sea turtle's start point and where she found the crab? Round to the nearest tenths place, if necessary.
Answers
Answer:
5 miles
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length = 4
b = base= 3
c = hypotenuse
4² + 3²
16 + 9 = 25
√25 = 5
No files no links or you’re going to get reported I’m giving 10 points so all I need is someone to help me
Answers
13 = 8x -15
28 = 8x
x = 3 1/2
Answer- A
2) barrel a; 5x+20
barrel b; 4.25x+32
Equal barrel weight: 5x+20=4.25x+32
5x=4.25x+12
0.25x=12
x=48
Answer: 48 shovels of dirt will make the two wheel barrels equal
What is the slope of the line passing through points (2, 1) and (5, 7)?
Answers
Answer:
(3, 6)
Step-by-step explanation:
(x1, y1) and (x2, y2)
x2 - x1, y2 - y1
(x*, x*)
(2, 1) and (5, 7)
5 - 2, 7 - 1
(3, 6)
Cockroaches can digest a wide range of substances, which makes them a(n) _____.
A.specialist species
B.generalist species
C.keystone species
D.indicator species
Answers
Answer:
specialist species
A car is traveling at a constant speed of 60 miles per hour. Complete the table below to the distance that the car travels in hours.
Answers
The value for the first one is “d= 60t”
because that’s how much the car travels per hour.
The values for the second question is “450=60t” because 450 is the amount of miles the car traveled in total, and again the 60 is how many miles the car travels per hour.
Hope this helped!
PLEASE help it’s due today at 10pm
Answers
Solve the following quadratic equation for all values of x in simplest form.
5x(x^2-4)+10=10
first person to answer right get branliest
people in com.ments who right get a tha.nks and fo.llow
Answers
Answer:
[tex]x=0,\:x=-2,\:x=2[/tex]
Step-by-step explanation:
Do you want me to explain it?
Consider the function f(x)=15x^2+60x-19
Name the vertex for the function
Answers
The vertex for this function would be (-2,-79)
Which expression is a factor of 9x^2-4x+1 ( ps ^2 is an exponent)
Answers
Answer:
The discriminant b2−4ac < 0, the equation has no real number solutions, it has complex solutions
Step-by-step explanation:
9x² - 4x + 1 = 0 ax² + bx + c = 0
The discriminant: b² - 4ac = (-4)² - 4*9*1 = 16 - 36 = -20
b2−4ac < 0, the equation has no real number solutions, it has complex solutions
Question Help
In the figure to the right, lines that appear to be tangent are tangent, and is the center of the circle.
What is the value of x?
Answers
Answer:
sorry
where is the figure
Determine the center and radius of the following circle equation:
x^2+y^2+12x-10y+12=0
Answers
Answer:
Center: ( -6,5) Radius: 7
Step-by-step explanation:
I hope this helps!
Answer:
radius = 9
C:(9,3)
Step-by-step explanation:
Which of the following expressions is equivalent to (12x4−4x3+7x+6)+(3x2−4x+14)?
A
12x4−x3+3x+20
B
15x6−8x4+21x+6
C
15x6−4x3+3x+20
D
12x4−4x3+3x2+3x+20
Answers
Answer:
It believe its C
Step-by-step explanation:
2. Felix visited a math website that featured
a random number generator. He used the
generator to create a list of five random
integers. felix found the correct sum of the five integers. what is the correct sum?
Answers
Find the radius of the button
Answers
d=28
28/2=14
radius =14
Answer:
the radius is 14
Step-by-step explanation:
... ....ur welcome.........
since the diameter of it is 28 the radius is half of it
Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Jacob?
Answers
Answer:
3 one is the ans
Step-by-step explanation:
Please help me this is due tomorrow and I don’t know what to do
Answers
Answer:
180-80=100
100-38=62
MJL=62
angle(m)=80
Answer:
<MJL = 62°
<m = 80°
x = 4
Step-by-step explanation:
in ∆JKL total angle aum is 180° and to find <L we have to subtract the given angles in this triangle from 180
that is
<L = 180-80-38 = 62°
then <MJL = 62° (alternative interior angle)
<JLM= 38° (alternative interior angle)
then <m = 180-62-38 = 80°
6x = 24 ( opposite sides are equal in parallelogram)
x= 24/6
x = 4
someone please help me with this I would really appreciate it (no files ) or (links) because it don’t work for me
Answers
Answer:
817.71
Step-by-step explanation:
Hi!
This involves applying trigonometry.
Because we are trying to figure out the height of Burj Khalifa, we are trying to find the length of AB. We already have CB, which is the adjacent side with respect to the angle. Then, AB would be the opposite side with respect to the angle given.
Remember SOH CAH TOA? Well, we have the adjacent and opposite sides involved in this, so we use the tangent function!
It will be as follows:
tan(73) = AB / 250
AB = (250)(tan(73))
AB = 817.71 meters
PLS HELP! DONT SKIP PLS.
Elena borrowed some money from her brother. She pays him back by giving him the same amount every week. The graph shows how much she owes after each week. 1. What is the slope of the line?
2. Is the slope positive or negative?
3. How much money did Elena borrow? (Hint: Vertical Intercept)
Answers
Answer:
1. -3
2. negative
3. $18
Step-by-step explanation:
1. slope is rise/run so...
-3/1=-3
2. because run was a change of 3 DOWN the y axis we and run is a change of 1 to the right on x axis we have a negative slope. -3
3. she borrowed $18. Vertical intercept means the point where our line crosses the vertical axis. (Vertical axis is Y axis.)
Solve the system by substitution 5x+2y=17 -4x+7=y
HELP PLEASEEE
Answers
Answer:
y=−9/2 x+12
HEART IF IT HELPED!!
Adding and subtracting integers not a lot!!
Answers
Answer:
??
Step-by-step explanation:
The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?
(-2.1)
5
O A. x = 4(y + 1)2. 2
O B. y = 4(x - 2)2 +1
O C. x = 4(y - 1)2 - 2
O D. y = 4(x - 2)2 - 1
Answers
Answer:
y = 4(x + 2)^2 + 1 (Answer B)
Step-by-step explanation:
Here we're given h = -2 and k = 1. Right away we know that the vertex form of the pertinent equation is
y = 4(x + 2)^2 + 1 (Answer B)
−k+2(−2k−5) simplified
Answers
Step-by-step explanation:
Square Mc hammered Square Puff
Answer:
-5(k + 2)
Step-by-step explanation:
DUE IN 20 MINS
Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. The account earns 2% simple interest. What is the total amount that Mr. Nguyen will have in his account at the end of 3 years?
A $28.80
B $2,880.00
C $508.80
D $768.00
Answers
Answer:bellow hope I helped most likely c
Step-by-step explanation:
If 2% per year
480 x 1.02 = 489.6 first year
489.6 x 1.02= 499.392. Second year
499.392 x 1.02 = 509.37984 third year
If 2 % per all 3 years
480 x 1.02 = 489.6 all 3 years
If 2 % per each month
480 x 1.02 = 489.6 first month
489.6 x 1.02 = 499.392 second month
499.392 x 1.02 = 509.37984 third month
509.37984 x1.02 = 519.5674368 forth month
519.5674368 x1.02 =529.958785536 fifth month
529.958785536 x 1.02 =540.5579612467 sixth month
540.5579612467 x 1.02 = 551.3691204716 seventh month
551.3691204716 x 1.02 =562.396502881 eigth month
562.396502881xl x1.02 = 573.6444329386 nineth month
573.6444329386 x 1.02 =
585.1173215974 tenth month
585.1173215974 x 1.02= 596.8196680293 11th month
596.8196680293 x 1.02=608.7560613899 12 months (1 year)
608.7560613899 x1.02 = 620.9311826177 1st month 2nd year
620.9311826177 x 1.02= 633.3498062701 2nd month 2nd year
633.3498062701 x 1.02 = 646.0168023955 3rd month 2nd year
646.0168023955 x 1.02 =658.9371384434 4th month 2nd year
658.9371384434 x 1.02= 672.1158812123 5th month 2nd year
672.1158812123 x1.02 = 685.5581988365 6th month 2nd year
685.5581988365 x 1.02 =699.2693628132 7 th month 2nd year
699.2693628132 x1.02 =713.2547500695 8th month 2nd year
713.2547500695 x 1.02 =727.5198450709 9th Month 2nd year
727.5198450709 x 1.02 =742.0702419723 10th Month 2nd year
742.0702419723 x 1.02 =756.9116468117 11 th month 2nd year
756.9116468117 x 1.02 = 772.0498797479 12th month 2nd year (2 years)
772.0498797479 x 1.02 = 787.4908773429 1st month 3rd year
787.4908773429 x 1.02 =803.2406948898 2nd month 3rd year
803.2406948898 x 1.02 = 819.3055087876 3rd month 3rd year
819.3055087876 x 1.02 = 835.6916189634 4th month 3rd year
835.6916189634 x 1.02 =852.4054513427 5th month 3rd year
852.4054513427 x1.02 = 869.4535603696 6th month 3rd year
869.4535603696 x 1.02 =886.842631577 7th month 3rd year
886.842631577 x 1.02= 904.5794842085 8th month 3rd year
904.5794842085 x 1.02 = 922.6710738927 9th month 3rd year
922.6710738927 x 1.02 = 941.1244953706 10th month 3rd year
941.1244953706 x1.02 = 959.946985278 11th month 3rd year
959.946985278 x 1.02 =979.1459249836 12th month 3rd year (3 years)
Nick needs to raise at least $320 for his trip. He has $80 saved already, and he makes $40 per yard that he mows. Write and solve an inequality to solve for how many yards, "x," Nick must mow to earn the money.
Answers
Answer: Nick must now at least 6 yards.
Step-by-step explanation:
Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:
= 80 + 40y
where y = number of yards
Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:
80 + 40x ≥ 320
40x ≥ 320 - 80
40x ≥ 240
x ≥ 240/40
x ≥ 6
Therefore, Nick must now at least 6 yards.
FOR REA PLEASE HELP ASAP
Answers
Answer:
16
Step-by-step explanation: -7 is the least number and 9 is the greatest. the range between -7 and 9 is 16
Alguien me ayuda por favor :(.
Answers
Please help me it’s due in 1 hour
Answers
Answer:
There were 39 children at the party
Step-by-step explanation:
Here, we want to know the number of children at the party
To do this, we have to add the y-values ( frequencies of the age grades)
We have this as;
8 + 8 + 7 +10 + 6 = 39
how do i solve this question
Answers
Answer:
18.18
Step-by-step explanation:
total sum of angle of quadrilateral is 360
70+60+ 7x-4+4x-3=360
160-7 +11x =360
153 +11x =360
11x=360-153
x=207/11
x=18.18
A pattern of ordered pairs is shown.
(0, 1), (2,4), (4,7), (6, 10)
The pattern continues. What is the eighth ordered pair in the pattern?
A. (8,13) B. (14, 18). C. (14, 22) D. (16, 19)
Answers
Answer: C
Step-by-step explanation:
X’s are going by +2 and y’s by +3
After identifying the pattern, its eighth ordered pair is: (14, 22), option C.
--------------------------
The ordered pairs given are: (0, 1), (2,4), (4,7), (6, 10)
From them, we can see that for each new ordered pair, x increases by 2, and y increases by 3.Thus, the next ordered pairs are: (8, 13), (10, 16), (12, 19), (14, 22).The eighth ordered pair is given by (14,22), option C.A similar problem is given at https://brainly.com/question/16599038
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
What can be said about the data for the snowfall in each resort? Check all that apply.
Answers
Answer:
2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.
Step-by-step explanation:
Answer:
ab 50 and ab 75
Step-by-step explanation:
