G (x ), represents transformations on the parent function of y = (½) x Write the equation for g (x ).

Answers

Answer 1

Complete Question:

g(x), represents transformations on the parent function of [tex]y = (\frac{1}{2})^x[/tex].

Write the equation for g (x ) with the following transformations:

Reflect over y-axis, and shift right 7

Answer:

[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]

Step-by-step explanation:

Given

[tex]y = (\frac{1}{2})^x[/tex]

Represent the function as:

[tex]f(x) = (\frac{1}{2})^x[/tex]

Taking the transformations, one after the other:

Reflect over the y-axis.

This is represented by the rule: (x,y) ==> (-x,y)

So, we have:

[tex]f'(x) = (\frac{1}{2})^{-x}[/tex]

Shift right 7 units

This is represented by (x,y) = (x - b, y)

Where b represents the number of units

So, we have:

[tex]f'(x-7) = (\frac{1}{2})^{-x-7}[/tex]

Hence:

[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]


Related Questions

What is 7/8 divided by 6/13 in the simplest form.

Answers

Answer:

The answer is: 1 43/48

~hope this answered your question correctly, have a gr8 day my friend!~

Step-by-step explanation:

I need help with this question

b divided 2 = 4.4

Answers

Answer: B= 8.8

Step-by-step explanation:

B/2 = 4.4

B/2 (2) = 4.4 (2)

B = 8.8

Please help me ASAP.

Answers

Answer:

D

Step-by-step explanation:

9 4/5 - 1 2/3 please helpp

Answers

The answer is 8 2/15 yw :)

Answer:

[tex]8\frac{2}{15}[/tex]

Step-by-step explanation:

[tex]9\frac{4}{5} -1\frac{2}{3} \\\\\frac{49}{5} -\frac{5}{3} \\\\\frac{147}{15} -\frac{25}{15} \\\\\frac{122}{15} =8\frac{2}{15}[/tex]

Need help Pls answer if you know.....

Nancy wants to be a bird seed mix in her birdfeeder. The mix is 30% wild bird seed and 70% sunflower seeds. Her bird feeder can hold 12 cups of bird seed. How much wild bird seed does she need to fill the birdfeeder?

Answers

Answer:

3.6 cups of wild bird seed

Step-by-step explanation:

30% x 12 cups

12 * .3

= 3.6

HELP DUE IN 60 MINS!


21. What should go in Reason 1?


22. What should go in Reason 2?


23. What should go in Reason 3?



These are the choices for the 3 reasons: Given, Alternate Interior Angles Theorem, AA Postulate, SAS Postulate, Reflexive Property of Congruence, SSS Postulate, Vertical Angles Theorem, Substitution Property.

Answers

Answer:

corresponding angle , Reflexive Property of CongruenceAA APostulate,

2(x+11)=3x=42simplify ​

Answers

Answer:

2x+22=42

Step-by-step explanation:

2x+22-22=42-22. which is 2x=20 divide both sides with 2,therefore the answer is 10

sebuah pesawat penyelam terbang dengan kecepatan 55.0 m/s dengan ketinggian konatan h 400m dengann gaya gravitasi 9.8 m/s kuadrat.tentukan sudut elevasi !!

help

Answers

Answer:

Step-by-step explanation:

Hand d hands. I Nnendjejw ndndnenend nsdnd nsrjer

Mr. Fisherman spent his weekend working in his yard. He had 1/6 of a bag of soil that he spread evenly among his 2 garden beds. How much soil did he put in each garden bed?

Answers

Answer:

1/12 per bag

Step-by-step explanation:

A Fisherman spent his weekend working on his farmland

He had 1/6 of a bag of soil

He spreads it evenly among his 2 garden beds

Therefore the soil in each garden bed can be calculated as follows

= 1/6 ÷ 2

= 1/6 × 1/2

= 1/12 per bag

Duncan is running to raise awareness and money for cancer. He finds 2 people who have pledged to
donate money based on the distance he runs. His neighbor says he will donate $0.25 for every 40 feet
Duncan runs. His aunt also says that she will donate $12 for every mile he runs. If Duncan runs a total of
7 miles during the cancer awareness run, how much money will he have raised based on these two
donations?

Answers

Answer:

$1008

Step-by-step explanation:

12 x 7 = $84 his aunt gives him.

1 mile = 5,280 feet

5,280 x 7 = 36,960 feet he ran.

5,280 ÷ 40 = 132 for every mile he runs

132 x 7 = $924 from his neighbor.

924 + 84 = 1,008

The lottery randomly draws 4 numbers out of 48 for a game and order doesn’t matter. A women selects 4 numbers, what is the probability the she wins the lottery?

Answers

Answer:

4/48 simplified by 4 = 1/12

The probability is 1/12

.............

What is 0.68 multiplied by 675?!!!?

Answers

Answer:

459

Step-by-step explanation:

Hope this helped!

Mr. Choe solved the inequality and his work is shown below. 3x+5≤−1 −5 −5 3x≤−6 ÷3 ÷3 x≥−2 Identify and explain Mr. Choe's error.

Answers

Answer:

x ≤ - 2

Step-by-step explanation:

Given the inequality :

3x+5≤−1

Subtract 5 from both sides

3x + 5 - 5 ≤ - 1 - 5

3x ≤ - 6

Divide both sides by 3

3x/3 ≤ - 6/3

x ≤ - 2

Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.

A penguin walks 10 feet in 6 seconds. At this speed how far does the penguin walk in 45 seconds?​

Answers

Answer:

The penguin will walk 75.15 feet in 45 seconds. It will take the penguin 26.95 seconds to walk 45 feet

Step-by-step explanation:

hope it helps !

Answer: 75 feet

Step-by-step explanation:

A storage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters. If Jean were to double these dimensions, she believes she would only double the volume. Is she correct? Explain why or why not. Include a drawing in your explanation.

Answers

Answer:

Hence doubling the dimension gives a volume greater than doubling the original volume.

Step-by-step explanation:

Given The dimension :

Original dimension : 6 meters by 5 meters by 12 meters

Volume of original dimension :

6 * 5 * 12 = 360 m³

If dimension is doubled :

2 * 6 = 12

2 * 5 = 10

2 * 12 = 24

Volume = (12 * 10 * 24) = 2880 m³

2 * original volume = 2 * 360 = 720 m³

Hence doubling the dimension gives a volume greater than doubling the original volume.

Please helpppppp
-3x-42>3
And show work

Answers

Answer:

Step-by-step explanation:

-3x-42 > 3

Add 43 to both sides

-3x>45

Divide both sides by -3

x>-15

please help me ill mark you brainly and please show your work

Answers

Step-by-step explanation:

[tex] \frac{5}{8} (4x - 16) = 20[/tex]

[tex] \frac{5}{2} x - 10 = 20[/tex]

[tex] \frac{5}{2}x = 20 - 10[/tex]

[tex]x = 4[/tex]

area of plane and composite figures

Answers

Dont click the link they track your ips

i just need the equation!

Answers

Answer:

let the no. of students in art class be x

then

9+4x=101

now u can solve it! u will get x = 23

Someone plz help in this math question

Answers

Answer:

BDA=52 angles at the centre is equal to 2× angles at circumference

PLS HELP ME I WILL GOVE YOU BRAINLIEST!

Answers

Answer:

15.7 ft

Step-by-step explanation:

You need to find the circumference.

C= 2πr

r= 2.5

C= 2π2.5

C= 15.7 ft

Mrs. Diaz graded 24 tests in 0.5 hours. How many tests per hour did she grade?

Answers

48 tests in a hour assuming she goes at the same rate

Express as a trinomial.

(3x + 7)(3x – 9)​

Answers

Answer:

9x² - 6x - 63

Step-by-step explanation:

Use the FOIL method. FOIL stands for First, Outside, Inside, Last.

Multiply following the FOIL:

3x * 3x = 9x²

3x * -9 = -27x

7 * 3x = 21x

7 * -9 = -63

9x² - 27x + 21x - 63

Combine like terms.

9x² (-27x + 21x) - 63

9x² - 6x - 63

9x² - 6x - 63 is your answer.

~


9x^2 - 27x+21x−63
9x^2 + (27x+21x) - 63
9x^2 - 6x - 63

what is the value of z?

Answers

Answer:

3 (z = 35)

Step-by-step explanation:

(22 + 19) + 104 + z = 180° => triangle sum theorem

41 + 104 + z = 180

145 + z = 180

145 + z - 145 = 180 - 145

z = 35

5.

Write the slope-intercept form of the equation for the line.


A. y = – 2x – 1

B. y= (1)/(2)x + 1

C. y= (1)/(2)x - 1

D. y = 2x – 1

Answers

y=2x-1
The slope is 2, the y-intercept is -1.

Henry's dinner bill is $132 the sales tax of 10% he lives at it of 15% how much will I pay in tax how much does it pay in tip what is his total bill

Answers

Answer:

$165

Step-by-step explanation:

Dinner bill = $132

Sales tax = 10% of dinner bill

Tip left = 15% of dinner bill

Amount of sales tax :

10% of $132

0.1 * $132 = $13.2

Amount of tip left :

15% * $132

0.15 * $132 = $19.8

Total bill :

Dinner cost + sales tax + tip

$132 + $13.2 + $19.8

= $165

Solve the following system of equations graphically on the set of axes below.
y = 3x - 3
y = -2+1

Answers

X: 2/3.


Y: -1


Those are the values

The graph below shows the distance a car can
travel, y, using x gallons of gasoline.
300
200
Distance (miles)
100-
1 2 3 4 5 6 7 8 9
Amount of Gasoline
(gallons)


HELPP!!

Answers

Answer:

yyyyyyyyyy

Step-by-step explanation:

yyyyyyyyyyyyyyy

Leilani hung a triangular pennant for her favorite baseball team in her room as shown below.

If the area of Leilani’s pennant is 82.65 in.2, what is the measure of the base in inches?

Answers

Answer:

Step-by-step explanation:

recall the area of a triangle is  Area = 1/2* Base* height

then we know the height, and the area solve for the base

I'll do the algebra symbolically so you can see how

A = 1/2 *B * H  ( start here)

2A/H = B   ( move to here )    

Now plug in what you know on the left side

2*82.65/17.4 = base

9.5 = base  :)

Solve for X. Plz I can't figure it outtt!

Answers

9514 1404 393

Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

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