Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformation of the given function? y=|6x-2|-7

(1/3,7); x=1/3; translated to the right 1/3 unit and up 7 units

(1/3,7); x=1/3; translated to the left 1/3 unit and down 7 units

(1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units

(1/3,-7); x=1/3; translated to the left 1/3 unit and up 7 units

Answers

Answer 1

Answer: (1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units

Step-by-step explanation:

The parent function is:

g(x) = IxI

And we have:

f(x) = I6x - 2I - 7

We canr rewrite f to get:

f(x) = 6*Ix - 1/3I - 7

Then, now let's define some transformations:

If we start with g(x), a translation of N units to the right is:

f(x) = g(x - N)

if we start with g(x), a translation of N units up is:

f(x) = g(x) + N

A translation down would be:

f(x) = g(x) - N

And a vertical dilation of scale factor A is written as:

f(x) = A*g(x)

Then in this case we have:

A translation to the right of 1/3 units.

A dilation of scale factor 6.

A translation down of 7 units.

And the axis of symmetry will be when the absolute value part is equal to zero, or when

6*Ix - 1/3I = 0

And that is when x = 1/3.

Then the correct option is:

(1/3,-7); x=1/3; translated to the right 1/3 unit and down 7 units


Related Questions

Washington High School is building a new running track. The track is constructed from a rectangle and two semicircles. 51 ft 250 ft Part A Determine the distance the runners run around the edge of the track. Round to the nearest whole number. Use 3.14 for T. feet Part B The inside of the track will all be grass. Determine the area of grass needed to fill in the track. Round to the nearest whole number. Use 3.14 for it. square feet​

Answers

Answer:

660 ft

Step-by-step explanation:

I got it right ✅ khhgu y jnj

Answer:

660ft

Step-by-step explanation:

What is the slope of the line?
6x+10y=8

Answers

Answer:

First, get it into slope-intercept:

y = -3/5x + 4/5

The slope is -3/5

Step-by-step explanation:

Slope intercept
y=-3/5x+4/5

If y varies inversely as x and y=10 when x= 5, find y when x= 5

Answers

Answer:

x = 10 when y = 5

Step-by-step explanation:

Note: y = 10 when x = 5 is already given, must be find x for y = 5.

y = k/x is the formula, using the given values finding the constant:

10 = k/5k = 10*5k = 50

So for y=5 we have:

5 = 50/xx = 50/5x = 10

Round your answer to the nearest hundredth BC=

Answers

Answer:

BC = 4.92

Step-by-step explanation:

cos 35° = [tex]\frac{?}{6}[/tex]

BC = 6 x cos 35°

BC = 6(.82) = 4.92

Jane scored 4 times as many points as Lenny did in basketball. The sum of their scores was 35. How many did each score?

Answers

Answer:

Jane scored 28 and Lenny scored 7

Step-by-step explanation:

A shuttle bus leaves from my office at a speed of 32 miles per
hour. How many hours will it take to arrive at my house if the
distance from the office to my house is 83 miles? Enter your
answer rounded to the nearest tenth of an hour.
hrs

Answers

Answer:

2.6 hours

Step-by-step explanation:

use distance formula:  d = r * t

                                     83 = 32t

                                     83/32 = t

                                       2.6 = t

2.6 hours is 2 hours, 36 minutes

please help!!! worth 15 pts

Answers

Answer:

clue 1 with graph 3, Clue 2 with graph 4, clue three with graph 1, and clue 4 with graph 2

Step-by-step explanation:

Hope this helps :)

Wendy spends 3/5 of her money on 3 bowls and 8 plates. With the rest of your money, you can buy another 6 bowls. If you spend all your money just on plates, how many plates can you buy?​

Answers

answer: 16 plates

I apologize if this is an incorrect answer,however, I believe that the fraction was added to throw you off. so if you divide the number of bowls you get 2 and then you multiply 8 by 2

If you spend all your money just on plates. Then the number of plates that you can buy will be 20.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Wendy spends 3/5 of her money on 3 bowls and 8 plates. With the rest of your money, you can buy another 6 bowls.

Let 'x' be the cost of each bowl, 'y' be the cost of each plate, and 'T' be the total amount of money. Then the equations are given as,

3x + 8y = (3/5) T          ...1

6x = (2/5) T

x = (1/15) T                 ...2

From equations 1 and 2, then the cost of each plate is calculated as,

3(1/15)T + 8y = (3/5)T

8y = 2/5

y = (1/20)T

If you spend all your money just on plates. Then the number of plates that you can buy will be given as,

⇒ T / (T / 20)

⇒ 20

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

You carry a balance of $2065.00 on a credit card at a 17.25% APR for five months how much is your total payment by the fifth month $2213.14


A 2213.42

B 2077.37

C 2421.21

D 2094.68

Answers

The answer is question A

3x-7-8+5x2 -x given x=-3

Answers

Answer:

-46

Step-by-step explanation:

-9-7-8-15-6-1 equals -46

Which expression is equivalent to 16+8?

A.2{8+4}
B.4{4+8}
C.4{4+1}
D.2{8+5}

Answers

Answer:

A

Step-by-step explanation:

The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y=-5
Line 2: g=12-1
Line 3: r=-6
Line 4: y+5= -4(2+1)

Answers

Put it in Desmos and look at the graph virtually so you can have a better idea

the question above or below states

The triangle has an area of 90cm^2 what size can angle x be

Answers

Answer:

[tex]x=30°[/tex]

Step-by-step explanation:

[tex]Area=\frac{18*20sinx}{2} \\ \Leftrightarrow 90=\frac{18*20sinx}{2} \\ \Leftrightarrow sinx=\frac{90*2}{18*20}=\frac{1}{2}\\ \Leftrightarrow x=30°[/tex]

PLLLLZZZZZZZZZZZZZZ HELPPPP ASAP 10 POINTS!
AND PLZ do both if u can!! <3 :(

Answers

Answer:

13p and 4p+3

Step-by-step explanation:

Add similar elements: 12p+p=13p

Add/Subtract the numbers: 6-3=3

40 plus 40 minus 20 times 0 plus 3 plus 125 equals what

Answers

9514 1404 393

Answer:

  208

Step-by-step explanation:

The order of operations requires that the multiplication be done before addition or subtraction.

  40 + 40 - 20×0 + 3 + 125

  = 40 + 40 - 0 + 3 + 125

  = 80 - 0 + 3 + 125

  = 80 + 3 + 125

  = 83 + 125

  = 208

__

The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)

Answer:

208

40 plus 40 minus 20 times 0 plus 125 in written form:

40 + 40 - 20 × 0 + 3 + 125

In order to get our answer 208, we must do it step by step:

First, we need to put 40 plus 40 into an equation:

40 + 40 = 80

Now that we have 80, we need to find 20 times 0:

20 x 0 = 0

Since 20 times 0 equals 0, we can now add 80 plus 3:

80 + 3 = 83

Now what we have left is to add 83 plus 125 which will give us our answer:

83 + 125 = 208!

The answer will be 208.

            Hope this helps!

     ~Hocus Pocus

 

Correct answer will get Brainlyist!

Answers

Answer:

Option B

Step-by-step explanation:

Question 7

1). √14 + 6.2 < 3π - 8.2

   Since, 14 is the nearest whole square number to 16

   √14 ≈ √16 ≈ 4

   Similarly, π ≈  3.14 ≈ 3

   By substituting these approximate values in the inequality,

   4 + 6.2 < 3(3) - 8.2

   10.2 < 9 - 8.2

   10.2 < 0.8

   False.

2). [tex]\frac{17}{5}+\sqrt{64}>8+\pi[/tex]

   [tex]\frac{17}{5}+8>8+\pi[/tex]

   3.4 + 8 > 8 + 3.14

   11.4 > 11.14

   True.

3). 35 - √40 > 6π

    [Since, nearest whole square integer to 40 is 36 and π ≈ 3]

    35 - √36 > 6(3)

    35 - 6 > 18

    29 > 18

    True.

Therefore, Option B is the correct option.

if the relationship is proportional, what is the missing value from the table? -18 -15 15 18

Answers

Answer:

B

Step-by-step explanation:

Mariana jarred 42 liters of jam after 6 days. How much jam did Mariana jar if she spent 7
days making jam? Assume the relationship is directly proportional.

Answers

She would’ve made 49 jars of jam
42 divided by 6 is 7 so 7 each day for 7 days is 49

Kia buys a shirt that costs $12.50 and some pairs of socks that are $2.50 each. She pays a total of $27.50 How many pairs of socks did Kia buy? Write your solution in a complete sentence.

Answers

Answer:

6

Step-by-step explanation:

Given that:

Cost of shirt = $12.50

Cost per socks = $2.50

Total amount paid = $27.50

How many pairs of socks was purchased =?

Let Number of socks purchased = x

Total amount paid = cost of shirt + (cost per socks * number of socks)

27.50 = 12.50 + (2.50 * x)

27.50 = 12.50 + 2.50x

27.50 - 12.50 = 2.50x

15 = 2.50x

x = 15 / 2.50

x = 6

Number of pairs purchased = 6

What is 0.1x30 I need help for this problem in math

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

solve for y.
-38=7y+17-12y​

Answers

Answer:

y=11

Step-by-step explanation:

Im so 100 percent sure but thats mostly the right answer

Answer:

y = 11

Step-by-step explanation:

-38 = 7y + 17 - 12y

-38 = -5y + 17

-17            -17

-55 = -5y

divide both sides by -5

11 = y

or y = 11

Hope this helps!!!

A bird is flying 10 feet above the water.A fish is swimming 4 feet below the water

Answers

Answer:

-4 for fish

+10 for birds

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

A bird is flying 10 feet above the water, a fish is swimming 4 feet under the water. What number represents the location of the fish on the number line. Iready lesson

A number line can be regarded as a straight line having a number with equal interval with both positive and negative sides

The number that represents the location of the fish on the number line is -4 while that of bird is +10

CHECK THE ATTACHMENT FOR THE NUMBER LINE

Answer: it should be -4

Step-by-step explanation: Hope this help

What is 69+69 please fast I need for test

Answers

Answer:

138

Step-by-step explanation:

Thats the answer bcus yea

Answer:

you can't rickroll be with 69

Step-by-step explanation:

but it is 138

Please answer correctly and write explanation

Answers

Answer:

the 3rd choice,   10x + 5, looks good

Step-by-step explanation:

a coefficient is the number in front of a variable , so that's 10

a constant is a number w/o a variable ...  so that's 5

I believe that the answer is 10x + 5.

Coefficents are also know as "multipliers". They pair with variables (in this case, that is x). Constants are simply numbers on their own.

Hope that makes sense.

The state of California takes about 8% of your income for income tax. How much of your money do you owe California in taxes each month?

Answers

Answer:

you can't answer it without knowing how much money they have to multiply it by the 8% to find out what you'll be paying out to California each month

Step-by-step explanation:

you have to know your monthly income to know how much you're paying out in California


Use synthetic division and the Remainder Theorem to find f(4) if f(x) = – 2x3 + 9x2
2x3 + 9.c- 6x + 7

Answers

Step-by-step explanation:

Let's see. f(4) makes the divisor x-4

4|-2 9 -6 7

| 8 -68 296

-2 17 -74 2072

The quotient is -2x²+17x-74 with a remainder of 2072

Find the x-intercept and y-intercept of the line. -3x+6y=11

Answers

Answer:

x- intercept is at [tex]( - 3 \frac{2}{3} ,0)[/tex].

y- intercept is at [tex](0,1 \frac{5}{6} )[/tex].

Step-by-step explanation:

The x-intercept occurs when y=0.

Thus, substitute y= 0 into the equation to find the x- intercept.

-3x +6y= 11

When y= 0,

-3x +6(0)= 11

-3x= 11

x= 11 ÷ (-3)

[tex]x = - \frac{11}{3} \\ x = - 3 \frac{2}{3} [/tex]

The y-intercept occurs at x= 0.

When x= 0,

-3(0) +6y= 11

6y= 11

y= 11÷ 6

[tex]y = 1\frac{5}{6} [/tex]

Which of the numbers given below is an irrational number ?

0
2.14
2.14367.....................

Answers

Answer:

2.14367............. is a irrational number.

Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 17 years?
c. How many years will it take for the account to contain $2,500?
d. How many years will it take for the account to contain $3,000?

Answers

Answer:

a. $2480b. $4040c. 4 years and 2 monthsd. 8 years and 4 months

Step-by-step explanation:

a. Account after 4 years:

2000 + 4*2000*0.06 = $2480

b. Account after 17 years:

2000 + 17*2000*0.06 = $4040

c. Time when account = $2500:

2000 + x*2000*0.06 = 2500120x = 500x = 500/120x = 4 20/120 = 4 2/12 years = 4 years and 2 months

d. Time when account = $3000

2000 + x*2000*0.06 = 3000120x = 1000x = 1000/120x = 8 40/120 = 8 4/12 years = 8 years and 4 months

-14-3x-9-12x=15
Combine Like Terms ​

Answers

Answer:

-15x - 23 = 15

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

-14 - 3x - 9 - 12x = 15

Step 2: Simplify

Combine like terms (x):                    -15x - 14 - 9 = 15Combine like terms (Z):                    -15x - 23 = 15
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