The graph of y = |x − 3| + 2 is reflected across the x-axis and then translated down 2 units. What is an equation of the transformed graph?

Answers

Answer 1

Answer:

y=-|x − 3|

Work

y = |x − 3| + 2

-2        -2

y = |x − 3|

add a neg before the absolute value

y=-|x − 3|

Answer 2

Transformation involves changing the position of a graph

The equation of the transformed graph is [tex]\mathbf{y = -|x -3| - 4}[/tex]

The equation is given as:

[tex]\mathbf{y = |x -3| + 2}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{y = -|x -3| - 2}[/tex]

The rule of translation 2 units down is:

[tex]\mathbf{(x,y) \to (x,y-2)}[/tex]

So, we have:

[tex]\mathbf{y = -|x -3| - 2 - 2}[/tex]

[tex]\mathbf{y = -|x -3| - 4}[/tex]

Hence, the equation of the transformed graph is [tex]\mathbf{y = -|x -3| - 4}[/tex]

Read more about transformation at:

https://brainly.com/question/11707700


Related Questions

{(2,0), (4, -3), (6, 9), (-2,7), (4,9)}
What is the range?
um...? idk

Answers

Answer:

(8,9)

Step-by-step explanation:

The biggest number minus the smallest number.

The answer is (8,9) ok

Finish the proof plz.

Answers

9514 1404 393

Explanation:

Here are the reasons:

GivenDefinition of a rectangleDefinition of a rectangleLL theorem for congruence of right trianglesCPCTC (corresponding parts of congruent triangles are congruent)

A map of Long Island has the scale 2.75 cm= 16km. On the map, target Rock is 23.2 cm from Lake Montauk. Find the distance from Target Rock to Lake Montauk. PLEASE HELP ASAP

Answers

Answer:

ytjyhyjhuyjhytujhyuhjnfh

Step-by-step explanation:

When a system of linear equations is graphed, how is the graph of each equation related to the solutions of that equation?​

Answers

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

Which graph represents the equation y = 3/4 x - 3

Answers

Answer:

Step-by-step explanation: you forgot to attach the file but it should look like this i think

Answer:

slope is 3/4

y-intercept is (0,-3)  Thats where you put your first point on the y-inter on -3

x    y

0   -3

4     0

Put your second point at 4 (on the x)

then your slope is rise /run 3/4

then you should get your line on your graph

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,-6) and (-9,6)

Answers

Answer:

13

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\d=\sqrt{(-9--4)^{2} +(6--6)^{2} } \\d=\sqrt{25 +144}\\d=\sqrt{169}\\d=13[/tex]

i need help 5+(−4)+(−7)+2

can you guy help me for this questions

Answers

Answer:

-4

Step-by-step explanation:

first remove the parentheses

5-4-7+2

then calculate the sum or difference

-4

the answer to this problem is -4

Find the discriminant and state the number and type of solutions.
-3.02 - 6x + 5 = 8

Answers

1.98 -6x = 8
x = 1.00(3)

Devin has 48 gingerbread cookies and 60 candy canes that he will put in gift bags for his friends and family. What is the greatest number of gift bags he can make if each bag will have the same number of cookies and the same number of candy canes? Also, identify the number of cookies and candy canes each bag will have.

Answers

Answer:

12 is the largest one number of gift bags he can make. Each will have 4 gingerbread cookies and 5 candy canes

Step-by-step explanation:

how many times does 67 117

Answers

7839 i think that’s right
67 can only go into 117 once

8. The table shows the linear relationship between the balance of a student's savings
account and the number of weeks he has been saving.
Savings Account
Week
1 3
8 13
Balance
53
88
(dollars)
123
0
6
32
39
74
Based on the table, what was the rate of change of the balance of the student's
savings account in dollars and cents per week?

Answers

Answer:

7 dollars

Step-by-step explanation:

Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10

Answers

Answer:

M=10

N=5

Q=2

Step-by-step explanation:

if you look at the equation it says

M+M+M=30

Since there's 3 M's you can combine it and make it into 3M=30.

you could then divide 30 by 3 in order to get M by itself and you would get M=10.

Hope this helped :)

What is the slope of the line that passes through the points (-10, 8) and (−15,−7)? Write your answer in simplest form.

Answers

Slope=m= (-7-8)/ (-15-(-10))= -15/-5= 3
Slope =m=minus 7 minus8 minus 15

y = x2+x-30
what are the factors

Answers

Answer:

2 and x are the factors of 2

Step-by-step explanation:

Please show how u got your answer
The scale of a map is 1 inch = 25 miles. On the map, the distance between two cities is 5.25 inches. What is
the actual distance in miles?

Answers

Answer:

131.25 miles

Step-by-step explanation:

if 1 inch equals 25 miles then you need to times 25 by 5.25 and you will get 131.25 miles.

2x^2+15x=8
factor or solve as indicated, show all work.
please and thank u!​

Answers

Answer:  x= -8  or x = 1/2

Step-by-step explanation:

2x^2 + 15x = 8      Subtract 8 from both sides to let the whole equation equal 0

            - 8     -8

2x^2 + 15x - 8 = 0      Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1.     16 times -1 is -16  and 16 plus -1 is 15.

Rewrite the whole equation in this form,

2x^2 +16x - 1x - 8 = 0      Factor on the left side

2x ( x + 8)  -1 (x + 8) = 0     Now factor out x + 8

 

(x + 8) (2x -1) = 0            Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.

x + 8 = 0        or   2x - 1 = 0  

  -8     -8                     +1  +1

   x = - 8                  2x  = 1

                                 x = 1/2

Use the graph below for this question: A 6 4 3 What is the average rate of change from x = -1 to x = -2? (1 point) 2 - 2 4 -1​

Answers

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, - 1 ] , then

f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )

f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus

average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

Is the relation a function? If it is a function, state the domain and range. If not, circle or
highlight the part that causes it to not be a function.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Writing this relation in set notation using curly braces:

{(1, 3), (2, 5), (3, -1), (4, 0), (5, 6)}

The relation clearly indicates that each input is related to exactly one output. In other words, there is no repetition of 'x' values.

Hence, this relation is a function.

We know that the domain is the set of all x values.

Thus, the domain is: {1, 2, 3, 4, 5}

We know that the domain is the set of all y values.

Thus, the range is: {-1, 0, 3, 5, 6}

write two numbers that multiply to the value on top and add to the value on the bottom.

Answers

Answer:

1 and 19

Step-by-step explanation:

I believe this is a factoring problem.

Example:

If we have the equation x^2-2x-3

We can find two numbers that multiply to -3 that add to -2

The two numbers are -3 and 1

(x-3)(x+1)= So x=3 and x=1

Answer:

1 and 19

Explanation:

1x19=19

1+19=20

a 40ft flag pole has a rope tied from the top to the ground. the rope makes a 25 degree angle with the ground, how long is the rope

Answers

Answer:

The rope is 94.65 feet.

Step-by-step explanation:

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

Answers

Answer:2:5

Step-by-step explanation: you have 2 red marbles which is the numerator and 5 as the denominator because it is the bigger number .

$22 haircut; 20% tip
help..

Answers

Answer:

20% tip = $4.40; total = $26.4

Step-by-step explanation:

20 % = 0.20 ------> 22 * 0.20 = 20% of 22

20% of $22.00 = $4.40

total = $22.00 + $4.40

total = $26.40

GMM
The numbers are
36
X
And 46 degrees

Answers

Answer:

45

Step-by-step explanation:

just had that q and sumbitted my quiziz and got it correct

i am beyond confused

Answers

It would be B because the angle of R is greater than the angle of S, and the angle of S is greater than the angle of T

Your answer would be B

plz help i need help im failing

Answers

Answer: It is D

Step-by-step explanation:

It is the 4th table

For x and y values to be a function, it must pass the vertical line test. This means that for every y value, there must be a different x value, or there can be two y values for one x value.

What is the value of V81
[tex] \sqrt{81} [/tex]

Answers

Answer: The value is 9

Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs. Item 19 A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? The store donates basketballs.

Answers

Answer:

28 soccer balls.

Step-by-step explanation:

Let there are 7x basketball and 6x soccer balls.

A sports store donates basketballs and soccer balls to the boys and girls club.

The store donates 24 soccer balls.

It means,

6x = 24

x = 4

No of basketballs = 7x

= 7(4)

= 28

Hence, the store denote 28 soccer balls.

6.Zena needs a salesperson. Sales person anyway is offering his services for an initial $50 in addition to $5 per hour. Sales person B is offering her services for $15 per hour. How many hours will two sales people charge the same amount of money?

Answers

Answer:

5 hours (when salespersons A and B will both charge $75)

80 L is what percent of 400 L tank

Answers

Answer:

50%

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

the percentage of 80L from 400L is 20%

Step-by-step explanation:

in order to find the percentage of something you need to divide the total amount from the number you want to find the percentage of:

80 / 400 = 0.2

we now multiply 0.2 by 100 to turn it into a percentage:

0.2 * 100 = 20%

A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock?

Answers

Answer:

The radius of the clock is 7.72 meters

Step-by-step explanation:

Here, we want to calculate the radius of a clock which has a circumference of 48.5 m

Mathematically;

Circumference C = 2 * pi * r

48.5 = 2 * 22/7 * r

7 * 48.5 = 44r

r = (7 * 48.5)/44

r = 7.72 meters

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