f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 units downward.

Answers

Answer 1

Answer:

-7/(x-5) - 3

Step-by-step explanation:

First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.

Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.

Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.

Answer 2

Using translation concepts, it is found that the new definition for the function is:

[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]

----------------------------

The parent function is:

[tex]f(x) = \frac{1}{x}[/tex]

A vertical stretch by a factor of a means that the function is multiplied by a.Factor of 7, thus:

[tex]g(x) = 7 \times \frac{1}{x} = \frac{7}{x}[/tex]

Reflection over the y-axis means that we have g(-x), thus:

[tex]g(-x) = \frac{7}{-x} = -\frac{7}{x}[/tex]

Translating a units to the right is g(x - a), 5 units, thus:

[tex]g(x) = -\frac{7}{x - 5}[/tex]

a units downward means that a is subtracted from the function, 3 units, thus:

[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]

A similar problem is given at https://brainly.com/question/19383602


Related Questions

whats 811 divide by 25

Answers

Answer:

the answer would be 32.44

Step-by-step explanation:

i think the answer is 32.44

lim x->3- f(x) i need to find the answer to this equation

Answers

If the limit is just f(x), then the answer would be 3 because you just plug in. Is there anything more to the problem? Or is it just f(x)?

How many 2/3's are in 1?

Answers

Answer:

Just one.

Step-by-step explanation:

If you add another [tex]\frac{2}{3}[/tex] it becomes [tex]\frac{4}{3}[/tex] which would make it greater than one.

Raphael takes 15 pages of notes during 6 hours of math class. Then, he takes 35 pages of notes during 14 hours of math class. How many pages of notes would Raphael expect to take during 3 hours of math class?

Answers

Answer:

7 and 1/2 or 15/2 (they are the same number just one is 15/2 is put into fraction form)

Step-by-step explanation:

Because 3 hours is half of 6 hours so 15x1/2=7 1/2 or 15/2

Hope this helps, pls consider giving a brainliest, aand have a good day

If x2 = 144, which of the following is true?
A x = 72 or x = -72
B o x = 5184 or x = -5184
CX = 12 or x = -12
Dx = 132 or x = -132

Answers

i think the answer is A x = 72 or x = -72

what is an equation of the line that passes through the points (-6,2) and (6,-2)

Answers

Answer:

y = -1/3 x + 8/3 or 3y = -x + 8

Step-by-step explanation:

m = (-2 - 2) / [(6 - (-6)]

= -4 / 12

= -1/3

Use (-6, 2) and substitute in the formula:

y = mx + b

2 = -1/3 (2) + b

2 = -2/3 + b

2 + 2/3 = b

8/3 = b

y = mx + b

y = -1/3 x + 8/3 or 3y = -x + 8

Right how do we write 10 hundredths in standard form

Answers

Answer:

Thus, ten hundredths in standard form (or standard notation) is 0.1. We call it 'one-tenth', it's a small number of less than 1.

Step-by-step explanation:

Hope this Helps

Answer:

0.1

that is 10 hundredths in standard form

What is 13.76 + 72.87?​

Answers

Answer: 86.63

Step-by-step explanation:

If you think teachers are annoying and when the bell goes off then u decide to leave but they say "the bell dont dismiss you i do" and you say what is it for then then you get sent to the office first to answere gets brainliest

Answers

Answer:

Bro I don't know. Maybe that teacher needs to pull that stick out of their butt.

Step-by-step explanation:

ikr man total bs they in sum

What is the solution of the inequality shown
below?
y +5 < 5
Enter the correct answer.

Answers

Answer:

y<0

Step-by-step explanation:

because that would make it y<0

Answer:

owo owo owo owo owo owo y<0

Step-by-step explanation:

If the sales tax rate is 7% in New York, then how much sales tax would you pay in New York for a $34 pair of
pants?

Please I need help fast

Answers

Answer:

you would pay 2.38 sales tax for a 34 dollar pair of pants

Step-by-step explanation:

What is the expression?

Answers

Answer:

And the actual answer to the riddle (not answer to expression) is 1 since it only says one was going to saint ives.

In an electrical circuit, the current is related to the power and resistance according to the rule I=pR−−√, where I represents the current (measured in amps), P represents power (measured in watts), and R represents resistance (measured in ohms). What is the electrical power drawn by a device that has a resistance of 15 ohms with a current of 4 amps?

Answers

Answer:

[tex]P=0.27\,\,watts[/tex]

Step-by-step explanation:

Consider the formula: [tex]I=PR[/tex]

Here, [tex]I[/tex] represents the current (measured in amps), P represents power (measured in watts), and R represents resistance (measured in ohms).

Resistance = 15 ohms

Current = 4 amps

To find electrical power drawn by a device, put [tex]R=15\,,\,I=4[/tex]

So,

[tex]4=15P\\P=\frac{4}{15}=0.27\,\,watts[/tex]

Determine if -81.42 is rational or irrational. If it is rational, write the number as a ratio of two integers.​

Answers

Answer:

-81.42 is a rational number

Step-by-step explanation:

[tex] - 81.42 \\ \\ = - \frac{8142}{100} \\ \\ = - \frac{8142 \div 2}{100 \div 2} \\ \\ = - \frac{4071}{50} \\ \\[/tex]

Answer: It is a rational number.

A rational number is a number that can be represented as a fraction.

The fraction can be: [tex]- \frac{4071}{50}[/tex] because:

[tex]-\frac{81.42}{100}[/tex] ÷ 2 = [tex]\frac{40.71}{50}[/tex]

The answer is yes, it is rational.

This is 8th grade math please

Answers

Answer: 1/2(m<TUV)= m<TUW

Step-by-step explanation: If you divide TUV by 2 then you would get 28 degrees which would be The < TUW

the answer is 1/2 (M

PLEASE HELP IM BEING TIMED!

Find KJR

Options: 4
61
55
50

Answers

Answer:

61

Step-by-step explanation:

Let's see what to do buddy...

_________________________________

KJI = KJR + RJI

So :

172° = ( 6x -5 )° + ( 12x -3 )°

172° = 18x - 8°

Subtract the sides of the equation plus 8°

180° = 18x

Divided the sides of the equation by 18

x = 180/18

x = 10°

_________________________________

So we have :

KJR = 6x -5 = 6(10) - 5 = 60 - 5 = 55°

KJR = 55°

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

(F.IF.B.5) Michael’s family was traveling to visit prospective colleges. They drove to the closest college that interested him, took a tour, and then drove to another college a little farther from home. The graph shown represents this situation. What is the domain and range of the scenario?

Will give Braniliest if correct.

Answers

Answer:

domain ( 0-5) minutes

Range ( 0-300) miles

Step-by-step explanation:

Here, we are interested in writing the domain and range for the journey to the prospective colleges.

The range simply deaths with the distances in miles while the domain is the time in seconds.

The range is simply the smallest value on the y-axis to the largest value on the y-axis

The domain refers to the smallest value on the x-axis to the largest value of the x-axis

Kindly note that the domain and range does not refer to the labelings of the highest and lowest value on the axes but the highest and lowest value involved in plotting of the line in the graph.

From the graph, we can see that we have a range of; (0-300) miles while the domain is from (0-5) minutes

A toy box contains eight green balls and four purple balls. Suppose you choose a ball at random and then replace it by putting it back in the toy box. You then choose a second ball. What is the probability that you have selected a green ball and then a purple ball?

Answers

Answer:

okay now I know this for absolute sure the answer is 2 over 9 aka 2/9

Step-by-step explanation:

You borrowed $ 1,325 for 10 years with compound interest rate of 4.02 %. How
much you have to pay back to the lender if interest is calculated quarterly?

Answers

Answer:

5326.5

Step-by-step explanation:

1325x10x.402

please help!!! I don't understand this and any help is appreciated!!!! thank you!!

Answers

To find y, you would need to replace x with zero so:
(x-1)^3(x+2)(x-3)^2

(0-1)^3(0+2)(0-3)^2

(-1)^3(2)(-3)^2

(-1)(2)(9)

(-2)(9)

-18 <= so the answer would be (0,-18) which is the 4th choice (and if u don’t mind could u give me brainliest)

Can someone help me with this please?

Answers

Answer:

X = 20 degrees

Step-by-step explanation:

so we know that a triangle equals 180 degrees.

We already have 70 degrees so there are 110 degrees left.

Y is a right angle making it a 90 degree angle

110-90 equals 20 making x a 20 degree angle.

Solve - 2y – 14x > 14 for y.

Answers

Answer:

y<-7x-7

Step-by-step explanation:

Add 14x on both sides

-2y>14x+14

Divide by 2 on both sides

-y>7x+7

y<-7x-7

please help me asap will appreciate it a lot
slope of a line passing through points A (3, 2) and B (-2, -3)?

Answers

Answer:

1

Step-by-step explanation:

So for this type of problem we use the formula [tex]m= \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] with each variable (besides m which is slope) representing a different coordinate. (e.g. -3 could be [tex]y_{2}[/tex] in this case.) First, let's define which is which:

(3,2): [tex]x_{1}, y_{1}[/tex]

(-2,-3): [tex]x_{2}, y_{2}[/tex]

Now we need to replace the variables with their known values: [tex]m=\frac{-3-2}{-2-3}[/tex]

Next, let's do the subtraction to simplify: [tex]m=\frac{-5}{-5}[/tex]

And we can complete the division (all fractions are division!) to simplify even further: [tex]m = 1[/tex]

Therefore, the slope of the line passing through the points (3,2) and (-2,-3) is 1.

1. Jonathan bought 10lb of flour at $7.50. He had a store coupon for $0.79. What was the
final price for the flour?
the answer and work

Answers

Answer:

6.71

Step-by-step explanation:

The solution should be $6.71 because when you subtract $7.50 and $0.79 you end up with $6.71.

PLEASE NEED HELP ASAP!!

Answers

Answer:

(3,-2)

Step-by-step explanation:

I think the answer is (3, -2) because in the graph the point is on those numbers

Answer: (3,-2)

Step-by-step explanation:

What is the slope of the line on the graph?

Please help asap

Answers

the slope would be 2/4

Find the product of 4^2 x 3 ^6

Answers

Answer: 11664

I think

Answer:

11,664

Step-by-step explanation:

4^2 x 3^6

16 x 729

11,664

Let f(x)=x+7 and g(x)=x-4 Find f(x) x g(x)
A. X^2-3x-28
B.x^2-3x-11
C. x^2+3x-28
D. x^2+3x-11

Answers

Answer:

C. x²+3x-28

Step-by-step explanation:

f(x) = x +7

g(x) = x -4

f(x) · g(x) = (x-4)(x+7)

              = x²+7x-4x-28

              = x²+3x-28

Answer:

Letter C sana makatulong sau

What is the value of h(2)

Answers

Answer: 0

Step-by-step explanation:

Because at x=2, y=3 is an open circle, meaning there is a hole there, and the function is not continuous, therefore h(2)=0

Answer:

h(2) = 0

Step-by-step explanation:

The value of h(2) is the y value of the function when x=2

We want the value An open circle has no value, so we need to take the closed circle

h(2) = 0

Find the length of segment jk with endpoints j(4,8) and k(-1,-2)

Answers

Answer:

15 units

Step-by-step explanation:

4-(-1)=5

8-(-2)=10

10 + 5 =15

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