What is the equation that represents g(x)? Explain your reasoning. 

What Is The Equation That Represents G(x)? Explain Your Reasoning.

Answers

Answer 1

Answer:

  g(x) = log(x+1) +4

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

translates the graph of f(x) to the right h units and up k units.

__

Your graph shows g(x) is a translation of f(x) to the left 1 unit and up 4 units. That means the graph of g(x) can be described by ...

  g(x) = f(x -(-1)) +4

  g(x) = log(x+1) +4

_____

Additional comment

The vertical asymptote of f(x) at x=0 provides an identifiable feature for assessing the amount of horizontal shift. The vertical asymptote at x=-1 for g(x) means there was a left shift of 1 unit.

One unit to the right of the vertical asymptote, the graph of f(x) has an x-intercept (y=0). On the graph of g(x), one unit to the right of the vertical asymptote, the graph shows a value of y=4. This suggests an upward shift of 4 units.

We observe that the graph of g(x) generally matches the shape of the graph of f(x), so there is likely no horizontal or vertical scaling. A horizontal expansion factor of 'a' and a vertical expansion factor of 'b' would modify the function to ...

  g(x) = b·f(x/a)


Related Questions

Which phrase is the best description of a scatter plot in which the variables are correlated with r = 0.16?
O weak negative correlation
O weak positive correlation
O strong negative correlation
O strong positive correlation

Answers

Answer:

C.) Strong negative correlation

Step-by-step explanation:

Find the area of the shape.
Either enter an exact answer in terms of it or use 3.14 for TT and enter your answer as a decimal.

Answers

Answer:

what was the answer?? I am also needing to know!

2(8 + t)* 6 when s = 3 and t = 2.

Answers

Answer:

120

Step-by-step explanation:

Plug in variables with numbers

2(8+2)*6

2(10)*6

20*6

120

Please mark brainliest!

A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years

Answers

6500 because if you take 3% of 5000 you get 150, so that’s 150 more people in the population per year. So you multiply 150 times 10 and you get 1500 and then you add your 5000 and get 6500.

The population at the end of the 10 years is 6,500.

Given that,

A town with a population of 5,000 grows 3% per year.

We need to find the population at the end of 10 years.

Based on the above information, the calculation is as follows:

= 5,000 + 1,500

= 6,500

Therefore we can conclude that the population at the end of the 10 years is 6,500.

A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?

Answers

Probability helps us to know the chances of an event occurring. The exact probability that all three marbles are drawn will be green is 0.02198.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the bag contains  3 red marbles, 7 blue marbles and 5 green marbles, therefore, a total of 15 marbles. Therefore, the exact probability that all three marbles are drawn will be green can be written as,

[tex]\rm Probability = \dfrac{5}{15} \times \dfrac{4}{14} \times \dfrac{3}{13} = \dfrac{60}{2730} = 0.02198[/tex]

Hence, the exact probability that all three marbles are drawn will be green is 0.02198.

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Which shows how to solve the equation -4/5 x = 80 for x in one step

Answers

Answer:

[tex] - \frac{1}{100} [/tex]

Step-by-step explanation:

[tex] - \frac{4}{5x} = 80 \\ - \frac{4}{80 } = 5x \\ x = - \frac{1}{100} [/tex]

Tyler believes that an 8-sided die can be used to predict whether customers at his store will use a coupon when making their purchases, with a roll of 1 indicating a coupon and all other outcomes indicating no coupon. Today, 4 of the first 48 customers in the store used a coupon. How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die? The experimental probability is greater than the theoretical probability by more than 2%. The experimental probability is less than the theoretical probability by more than 2%. The experimental probability is greater than the theoretical probability, but within 2%. The experimental probability is less than the theoretical probability, but within 2%.

Answers

The correct answer choice is; The experimental probability is less than the theoretical probability by more than 2%.

How does the experimental probability of a customer using a coupon compare to the theoretical probability of Tyler’s die?

It follows from the task content that, upon evaluation;

The experimental probability = 4/48 = 1/12.

The theoretical probability = 1/8.

On this note, it follows that the experimental probability is less than the theoretical probability by more than 2%.

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Answer:

B. The experimental probability is less than the theoretical probability by more than 2%.

Step-by-step explanation:

have a good day peep's :]

Need help with this quick.

Answers

A trapezium is a quadrilateral. The option that is true for the trapezium is A, D, and E.

What is Trapezium?

A trapezium is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The given trapezium is an isoceles trapezium. Therefore, the properties of the trapezium that are true for KLMJ are:

KL is parallel to JM∠J is supplementary ∠K∠J is congruent to ∠M (Valid only for isoceles trapezium).

Hence, the option that is true for the trapezium is A, D, and E.

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Is 6 pints and 60 fluid ounces greater than, less than, or equal to? Explain.

Answers

If it doesn’t equal two one gallon it would be greater than. So it’s less than.

Helpppp pleaseeeeeeee

Answers

A compound event is where there are more than 1 ways of something happening. A coin only has 1 head so therefore it is not a compound event.
Hope that helps

Find the minimum value of the function f(x) = 1.5x2 + 10x + 12 to the nearest
hundredth.

Answers

Answer:

-14/3

Step-by-step explanation:

Use derivative = 0 to find turning point(S)

D f(x) = 3x + 10 = 0

3x = - 10

X = - 10/3

When X = - 10/3

F(x) = 1.5(10/3)^2 - 10(10/3) + 12

= (3*10*10) / (2*3*3) - 100/3 +12

= 50/3 - 100/3 + 36/3

= - 14/3

Solve the expression below.
1 2/4 +2 1/4

Answers

[tex]1 \dfrac 24 +2 \dfrac 14\\\\=1 + \dfrac 24+ 2 + \dfrac 14\\\\=3 + \dfrac 34\\\\=3 \dfrac 34[/tex]

find the minimum product of two numbers whose difference is 17.
what are the numbers?

Answers

A number is an arithmetic value that is used to represent a quantity and calculate it. The two numbers will be 17 and 0, so the product of the two is minimal.

What are Numbers?

A number is an arithmetic value that is used to represent a quantity and calculate it. Numericals are written symbols that represent numbers, such as "3."

Given the difference between the two numbers is 17. Let the first number be zero, then the second number will be 17. Thus, the product of the two numbers will be 0, which is the minimum.

If the first number is further increased such as 1, then the other number will be 18, and the product of the two will be 18, which is greater than zero.

Hence, the two numbers will be 17 and 0, so the product of the two is minimal.

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If r is directly proportional to the
square of s and r = 72 when
= 12, find r when s = 8.?

Answers

Answer:

r2=48

Step-by-step explanation:

r1=72

s1=12

s2=8

[tex]r \alpha s \\ \frac{r1}{s1} = \frac{r2}{s2} \\ \frac{72}{12} = \frac{r2}{8} \\ r2 = 8 \times \frac{72}{12} = 48[/tex]

If 15 is equal to 20% how much is 100%???

Answers

Answer:

75=100%

Step-by-step explanation:

15=20%

30=50%

75=100%

There are 30 dogs staying in some boarding kennels.
12 of the dogs are brown.
What fraction of the dogs in the boarding kennels are not brown?

Answers

Answer: 3/5 or 18/30

Step-by-step explanation: You have to find how many in total are not brown, which is 30 - 12 = 18

18/30 are not brown, or simplified is 3/5

help please, this is supposed to be done with a calculator but i don’t have one

Answers

Answer:

x = {7, -1}

Step-by-step explanation:

assuming that you are to find the zeros of the equation you dont need a calculator to do this

you can set both sides to zero

(x - 7) = 0

(x + 1) = 0

and then solve for the zeros

x = {7, -1}

that is your answer

Help me bcuz you earn points

Answers

Longest time: 29s
Shortest time: 25s
Difference: 4s
Don’t agree.

Once a month, volunteers from the Green Sea Club clean up litter at the beach. Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.
If they pick up trash at the same rate, how many pounds of trash should the volunteers pick up this month?
pounds

Answers

69 pounds of trash I think

Answer:

6 pounds

Step-by-step explanation:

2 pounds per hour

Travis drew this graph to plan his rectangular garden. The points on the graph mark the four corners of the fence around the garden. What will be the length and width of the fence around the garden? Explain your answer.

Answers

The length of the rectangular garden which Travis drew on graph is equal to the large side of the rectangle made by four points and width is equal to short side.

What is the perimeter of a rectangle?

The measure of the boundary of the sides of a rectangles called its perimeter. The perimeter of a rectangle is twice the sum its length and width.

P=2(l+w)

Here, (l) is the length of the rectangle and (w) is the width of the rectangle.

Travis drew a graph to plan the rectangular garden he has. The points over the graph marked are the four corners of the fence around the garden.

Now let suppose the two corner marked are with total distance of x while other two with total distance of y. Then the length will be x and width will be y.

Thus, the length of the rectangular garden which Travis drew on graph is equal to the large side of the rectangle made by four points and width is equal to short side.

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Turn 127 feet 3 3/8 inches into inches

Answers

Answer:

127 ft = 1,524 inches + 3.375

Step-by-step explanation:

127 ft = 1,524 inches + 3.375

Answer:

1527 3/8 inches

Step-by-step explanation:

since 12 inches = 1 foot                       

to convert feet to inches multiply the feet value (127) by 12

127 * 12 = 1524

add the rest of the in

1524 + 3 3/8 = 1527 3/8

your answer is 1527 3/8 inches

hope this helps:)

solve it by using high order derivative
y=1÷(X+2)(x^2+4)​

Answers

Answer:

I think it is ± 2y−2X1 −22y− 2X1−2+4=x2=x

Step-by-step explanation:

hope this helps if not let me know

Find the factor of each ff.
z²-12z+24​

Answers

Answer:

sorry is i m wrong hope this will help you

Step-by-step explanation:

z²-12z+24=0

z²-6x-6z+36-12=0

z(z-6)-6(z-6)-12=0

(z-6)(z-6-12)=0

(z-6)(z-18)=0

either

z-6=0

z=6

or

z-18=0

z=18

help please i really need help asap

Answers

Answer:

answer is 60

Step-by-step explanation:

80+40+y=180 reason (co-interior angles supplementary)

y=180-80-40

y=60

please solve the equation: -2x(-3x2^y)(2y)=?

Answers

Answer:

6x^2yx2^1+y

Step-by-step explanation:

Given that 5 miles is 8 km, convert 32.7 km to miles.
help im stuck

Answers

Answer:

20.4375 miles

Step-by-step explanation:

 5 miles / 8 km    *    32.7 km   = 20.4375 miles

    ( see how the units 'km' cancel out and you are left with 'miles' as your answer?)

What is the volume of a cone with a height of 27 inches and a radius of 11 inches?
Please help! I would like to complete this assignment as soon as possible! 50 pts!​

Answers

Answer:

3419.46 in³

Step-by-step explanation:

Use the volume formula

V = (1/3)πr²h

Given

r = 11 inh = 27 inπ = 3.14 (rounded)

Substitute and calculate

V = (1/3)(3.14)(11²)(27) = 3419.46 in³

Answer:

3421.2 in³  (nearest tenth)

Step-by-step explanation:

Volume of a cone

[tex]\sf V= \dfrac{1}{3} \pi r^2 h[/tex]

where:

r is the radiush is the height

Given:

r = 11 inh = 27 in

Substitute the given values into the formula and solve for V:

[tex]\implies \sf V=\dfrac{1}{3} \pi (11)^2(27)[/tex]

[tex]\implies \sf V=\dfrac{1}{3} \pi (121)(27)[/tex]

[tex]\implies \sf V=\dfrac{3267}{3} \pi[/tex]

[tex]\implies \sf V=1089 \pi[/tex]

[tex]\implies \sf V=3421.2\:\:in^3\:\:(nearest\:tenth)[/tex]

1/2x +4y=-4 and 3y=0.25x-8

Answers

Answer:

because 9 I 5x1 *

Step-by-step explanation:

do multiply 5 *1

3,045 ÷ 85
Estimate:
Quotient:
Remainder:​

Answers

Answer:

[tex]85 \sqrt{(3045})35.823\\ - 2975 \\ 700 \\ - 680 \\ 200 \\ - 10 \\ 300 \\ - 255 \\ ......[/tex]

find the diameter of the object

Answers

Answer:

4

Step-by-step explanation:

The diameter of a circle is 2 times the radius. (the diameter is the length from an outer point in  the circle, to one directly across)

In this case, the radius is 2.

So, 2 x 2 = 4.

The diameter is 4.

Answer:-

4 in

Explanation:-

The diameter of a circle is twice its radius. Here the given radius is 2 in.

So diameter = 2 in × 2 in = 4 in

______________

Radius = Diameter/2

Diameter = Radius × Radius

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