Graph.
f(x)=2|x+2|+1
Use the Ray tool to graph the absolute value function.
Answers
We can use the Ray tool to graph the absolute value function f(x) = 2|x+2| + 1, which helps us visualize the function by plotting specific points on the coordinate plane.
1. Begin by understanding the structure of the absolute value function f(x) = |x|. The absolute value function takes any input x and returns the positive value of x, making it symmetric concerning the y-axis.
2. In the given function f(x) = 2|x+2| + 1, the "2" in front of the absolute value affects the vertical scale, while the "+2" inside the absolute value causes a horizontal shift of 2 units to the left.
3. Start plotting points on the coordinate plane. To determine the behavior of the graph, consider a few x-values.
- When x = -4, we have f(-4) = 2|-4+2| + 1 = 2| -2| + 1 = 2(2) + 1 = 4 + 1 = 5. So, we have the point (-4, 5).
- When x = -2, we have f(-2) = 2|-2+2| + 1 = 2| 0| + 1 = 2(0) + 1 = 1. So, we have the point (-2, 1).
- When x = -1, we have f(-1) = 2|-1+2| + 1 = 2| 1| + 1 = 2(1) + 1 = 3. So, we have the point (-1, 3).
- When x = 0, we have f(0) = 2|0+2| + 1 = 2| 2| + 1 = 2(2) + 1 = 5. So, we have the point (0, 5).
- Continue this process for other values of x to obtain more points.
4. Plot all the points on the graph and connect them smoothly. Remember to maintain symmetry concerning the y-axis due to the absolute value function.
5. The resulting graph will have a "V" shape, with the vertex at the point (-2, 1). The line will extend upward on both sides, following a steep slope with a vertical stretch of 2.
6. Label the axes and any other relevant points to complete the graph.
By following these steps and utilizing the Ray tool, you can accurately graph the given absolute value function f(x) = 2|x+2| + 1.
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Related Questions
PLEASEEE ITS EASY ALGEBRA 1 ):
Answers
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 > 11
Subtract 7 from both sides
2x/3 > 4
Multiply both sides by 3
2x > 12
Divide both sides by 2
x > 6
6, 7, and 8 are the ones that work
Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope
Answers
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
help I need this asap I will give the brainiest
Answers
Factor 20w + 70.
i need help!
Answers
Answer:
10(2w+7)
Step-by-step explanation:
Given the following number line, select all of the true statements.
|a| > |b|
a b
a > b
0 0
Answers
Answer:
b
Step-by-step explanation:
7r7f7fdud6f7fuf6ffuf7f7fud7d7d6d6d
Answer:
doing this in oddseyware rn its is A C D F
mark brainlist
Step-by-step explanation:
Question 1:
Solve for k :
Answers
step by step explanation: divide 108 and -3 and because there is one negative it’d be -36
hope this helps
Answer:
Step-by-step explanation:
Equation:
-3k = 108
We need to separate -3 from k. So we must do the inverse operation.
Divide both sides by -3
k = -36
Hope this helps :)
Please consider Brainliest :)
A polynomial function is represented by the data in the table.
x = -5, -4, -3, -2, -1
f(x) = -15, -6, 1, 6, 9
Choose the function represented by the data.
f(x) = 6x + 15
f(x) = −6x − 45
f(x) = x2 − 40
f(x) = −x2 + 10
Answers
Answer:
Step-by-step explanation:
F(x)=6x+15
f(x)=6(-15)+15
f(x)=-75
Answer:
D f(x)=-x2+10
Step-by-step explanation:
did on edge
Ayudaaaa porfavorrr se los suplico me
Answers
Explain how to solve systems of linear equations by substitution.
Answers
Answer:
Step 1 : First, solve one linear equation for y in terms of x .
Step 2 : Then substitute that expression for y in the other linear equation.
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.
Step-by-step explanation:
What is the value of x and what does ACB equal to? Please answer as soon as possible! Thanks for your support!
Answers
Answer:
11 ; 12°
Step-by-step explanation:
3x + 28 + 2x - 10 + 5x + 52 = 180
10x = 180 - 70
x = 11
m∠C = 2(11) - 10 = 12°
Answer:
Angle ACB = 12°
Step-by-step explanation:
All angles in a triangle always add up to 180°, which gives us an equation to solve for x:
3x + 28 + 5x + 52 + 2x -10 = 180
Combine like terms
10x + 70 = 180
Subtract 70 from both sides
10x = 110
Divide both sides by 10
x = 11
Now we know the value of x, we need to just plug it in to angle ACB's given value:
2(11) - 10 = Angle ACB
22 - 10 = Angle ACB
12 = Angle ACB
Is the square root of 13 a rational or irrational number? Explain.
Answers
Answer: irrational
Step-by-step explanation:
Find (g-)(x).
f(x)=1/x
g(x) = x^2+ 2x-5
Answers
Answer:
C. x^2+ 2x-5 - 1/xStep-by-step explanation:
Givenf(x)=1/x g(x) = x^2+ 2x-5To find(g-f)(x)Solution(g-f)(x) = g(x) - f(x) =x^2+ 2x-5 - 1/xCorrect one is C
Cody treated his girlfriend to lunch at Hamburger Palace. The bill came to
$
15.95
plus a tax of
$
1.17
. He gave the waitress a $20 bill and two dimes.
How much change will Cody get back?
Answers
Answer:
2.88
Step-by-step explanation:
You add $15.95 + $1.17 = $17.12 and subtract $20 and its $2.88 he will get back
What is the point slope form of a line with the slope -5 and point (2,-8)?
Answers
Answer:
-5x-y=27
Step-by-step explanation:
Plz give brainliest I am trying to rank up.
1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?
2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?
3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each piece
Answers
Answer: See explanation
Step-by-step explanation:
1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?
The time spent on each subject will be the remaining hours left divided by 7. This will be:
= 5 3/5 ÷ 7
= 28/5 ÷ 7
= 28/5 × 1/7
= 28/35 = 4/5 hours
Since 60 minutes make one hour
4/5 hours = 4/5 × 60 = 48 minutes
2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?
This will be:
= 6 3/4 ÷ 2 1/4
= 27/4 ÷ 9/4
= 27/4 × 4/9
= 3 boxes
3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each.
Joana ribbon = 12 1/4 meters
Joy's ribbon = 12 1/4 - 3 = 9 1/4 meters
We then add both length of ribbons and divide by 2. This will be:
= 12 1/4 + 9 1/4
= 21 1/2 meters
= 21 1/2 meters ÷ 2
= 43/2 ÷ 2
= 43/2 × 1/2
= 43/4
= 10 3/4 meters
Dexter is curious as to whether there is a relationship between a person’s height and thumb length. Fourteen of his classmates volunteered to be measured. He listed his data in a table.
Examine the data set and determine the relationship, if any, between height, h, and thumb length, t. Use your model to predict the thumb length of a person who is 174 cm tall.
Answers
The answer to this question is 7.404
A school allots £2000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £32 each and are on offer for 1 4 off. A train ticket for the day will cost £12 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answers
Answer:
£20
Step-by-step explanation:
Given that:
Total amount alloted = 2000
Ticket cost = 32
Discount = 1/4 off
Hence, ticket price = 3/4 * 32 = 24
Train ticket cost = 12
Total cost per person = £(12 + 24) = £36
Hence, alloted amount / cost per person
= £2000 / £36
= 55.55
Total number that can attend = 2 teachers and 53 students
Change = £2000 - (£36*55)
= £20
click on the photo , please help
Answers
Answer:
true
Step-by-step explanation:
Three baseball players are playing catch. Herman is 6 meters south of Luca and 8 meters west of valentina. How far does Luca need to throw the ball to get it to Valentina
Answers
Answer:
Luca needs to throw the ball 10 meters to get to Valentina.
Step-by-step explanation:
Distance Between two Points in the Plane
Let's assume Luca is at the origin of coordinates (0,0).
Since Herman is 6 meters south of Luca, he is located at (0,-8).
We also know Herman is 8 meters west of Valentina, or equivalently, Valentina is 8 meters east of Herman. This locates Valentina at (6,-8).
If Luca wanted to throw the ball to Valentina, he would need to cover the distance between them.
Thus the problem reduces to find the distance between (0,0) and (6,-8).
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
Applying the formula:
[tex]d=\sqrt{(-8-0)^2+(6-0)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(6)^2}[/tex]
[tex]d=\sqrt{64+36}=\sqrt{100}=10[/tex]
d=10 m
Luca needs to throw the ball 10 meters to get to Valentina.
10. +
10. LCM and GCF
Sweet Charlotte has 24 pounds of popcorn, 36 pounds of fudge,
and 144 pounds of lollipops. They will ship out boxes that
contain all 3 items. Each box will have the same amount of
popcorn, fudge, and lollipops. What is the max number of boxes
they can ship out?
A 2 boxes B. 4 boxes C 12 boxes D. 24 boxes
A
B
Answers
Answer:
12 boxes or C.
Step-by-step explanation:
Max = divide.
GCF=12.
LCM = 144.
Difference:
144/12 or 12.
So 12 boxes
Hope this helps :D
2. What are the slope and y-intercept of the
line described by y = 3x - 6?
Answers
Answer:
If your trying to find the slope and y-int of that equation:
Slope: 3
y-int: (0, -6)
Need help with this please!!
Answers
Answer:
1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6
2. L) 1, -4 M) 6, 4 N) 7, -2
3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8
4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9
5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14
6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0
Choose 3 side lengths that would create a right triangle in order from shortest to longest.
Answers
Answer:
Step-by-step explanation:
shortest-7
middle-24
longest-25
You want to build a fence around a rectangular yard that is 15 ft. Wide and 25 ft. Long. Find the perimeter of the yard. If fencing costs $6.25 per foot, how much will the fence cost?
Answers
Answer:
$500
Step-by-step explanation:
25*2=50
15*2=30
15(2)+25(2)=80
80(6.25)=500
Choose true or false for each statement.
Answers
Answer:
a:t
b:f
c:f
d:t
e:f
I think
A fox can run at a rate of 62 miles in 2 hours. A rabbit can run at a rate of 22 miles in 30 minutes. Which animal has the faster speed in miles per hour?
Answers
Answer:
The rabbit is faster, as it has a speed of 44 mph.
Step-by-step explanation:
Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.
In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.
Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.
Write the equation for the line that is parallel to the given line and that contains
the given point. Use the point-slope form of the equation of a line.*
(-3,4) y=-x-11
Answers
Answer:
x + y - 1 = 0
Step-by-step explanation:
y = -x - 11
therefore its slope is -1
x1= -3
y1 = 4
m = -1
from, y - y1 = m(x -x1)
y - 4 = -1(x + 3)
y -4 = -x -3
x + y -1 = 0
You bought a bag of cat food for $4.75 and a bag of dog food for $12.59. How much more did you spend on the dog food?
Answers
Answer:
$7.84 more
Step-by-step explanation:
To find how much more you spent on dog food, find the difference between the two prices:
12.59 - 4.75
= 7.84
So, you spent $7.84 more on the dog food
What type of number is "0.27820.27820," point, 2782?
Answers
Answer:
Decimal
Step-by-step explanation:
Im going to assume you double pasted, happens sometimes. so the answer would be decimal.
(For #8 -9) Choose ONE of the application problems below and solve it using a system of 2 equations.
Remember - word problem, word answer.
8. The high school FFA is selling fruit. Together, Kay and Ayan sell a total of 25 boxes. Kay sells 13 less than Ayan.
How many boxes does each girl sell?
Define your variables:
X =
Y =
boxes.
boxes, and Ayan sold
Kay sold
Answers
Answer:
Kay sold 6 boxes and Ayan sold 19 boxes
Step-by-step explanation:
Let x = number of boxes Kay sells
y = number of boxes Ayan sells
Then the equations will be:
[tex]x+y = 25\\x = y-13[/tex]
We can solve the system by using substitution method
Putting x = y-13 in equation 1
[tex]y-13+y = 25\\2y -13 = 25\\2y = 25+13\\2y = 38[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2} = \frac{38}{2}\\y = 19[/tex]
Putting y = 19 in equation 2
[tex]x = y-13\\x = 19-13\\x = 6[/tex]
Hence,
Kay sold 6 boxes and Ayan sold 19 boxes