use what you know about translations of functions to analyze the graph of the function f(x) = (0.5)^x-5+8 you may wish to grab it and its parent function y=0.5^x on the same axes
The parent function y=0.5^x is _____ across its domain because its base b is such that

Answers

Answer 1

First box is: decreasing

Second box: 0< b< 1

Third box: Up

Fourth box: Right

Answer 2

The parent function y=0.5^x is decreasing across its domain because its base b is such that (0<b<1) and function shifts it 8 units up and 5 units right.

What is translation of a function?

Translation of a function is shifting the function from its original place in the graph.

Types of translation -

Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)+c shifts the graph c units down and by replacing parent function with f(x)-c shifts the graph b units up.

The functions of the graph given in the problem as,

[tex]f(x) = (0.5)^{x-5}+8[/tex]

The parent function of the graph is,

[tex]y=0.5^x[/tex]

In the parent function, the 5 units subtracted, and 8 units added outside the function. Thus, the function shifts the parent function 8 units up and 5 units right.

Thus, the parent function y=0.5^x is decreasing across its domain because its base b is such that (0<b<1) and function shifts it 8 units up and 5 units right.

Learn more about the transition of a function here;

https://brainly.com/question/626170


Related Questions

An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 9 more than three times the length of the bottom of the triangle. The last side is 9 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle. What is the expression for the perimeter of the triangle?​

Answers

Answer:

The perimeter of the triangle can be expressed as 5x + 18.

Step-by-step explanation:

Perimeter of an object is the sum of the length of its sides.

For the required triangle, we have;

length of the base = x

length of the second side = 3x + 9

length of the third side = x + 9

Perimeter of the triangle = length of the base + length of the second side + length of the third side

                                        = x + (3x + 9) + (x + 9)

                                        = x + 3x + 9 + x + 9

                                        = 5x + 18

The perimeter of the triangle can be expressed as 5x + 18.

- 18
10
- 11 -

What’s the area of the shape and numbers ?

Answers

Answer:

1,980 would be the area and the perimeter would be 39 im pretty sure

help me please!
i don’t understand!

Answers

Answer:

Harry is paid £64

Step-by-step explanation:

To work this out you have to divide 48 ÷ 6 to get 8.

8 hours x £8 = £64

Answer:

64

you have to find the LCM of 48 including 6 and use the other number which is 8 and multiply it by how long Harry worked 8 hours which gives you £64

Expand and simplify
(4 + 2)(6-2)
Give your answer in the form b+ CV 2​

Answers

Answer:

(4+2)(6-2)

24+8+12-4

44-4

40

Answer:

youre welcome- have a nice day

Step-by-step explanation:

y= 2 over 3 x + 20 when x= 21

Answers

Answer:

y=1262 /63 or y=20 and 2/63

Step-by-step explanation:

plug 21 into the equation to get y=2/3(21)+20


Al and Tom are painting a shed. Working alone, Al can paint the shed in 2 hrs. Together they can paint the shed in 1.5 hours. How long would it take Tom to paint the shed on his own?

Answers

Answer:

6 hours.

Step-by-step explanation:

The formula sort of has to be invented.

Al

rate = 1 shed / 2 hours

Tom

rate = 1 shed / x hours.

Together.

rate = 1 shed / 1.5 hours.

Equation

1 shed / 2 hours + 1 shed / x hours = 1 shed / 1.5 hours.

1/2 + 1/x = 1/1.5          Put the fractions over a common denominator.

(x + 2) / 2x = 1 / 1.5   Cross Multiply

1.5(x + 2) = 2x           Remove the Brackets.

1.5x + 3 = 2x             Subtract 1.5x from both sides

3 = 2x - 1.5x

3 = 0.5x                    Multiply both sides by 2

6 = x

It would take Al 6 hours to do the shed on his own.

Help me please will mark

Answers

Answer:

d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

determining slope and y-intercept

Answers

Answer:

The slope is -1

Step-by-step explanation:

Anytime the x-intercept values have 0 in it, the y-intercept value which is below/above the x-values (Which in this case is -1) is the y-intercept.

choose the correct response ​

Answers

Answer:

74 hope this works if not I'm sorry

I need help me this somebody help!

Answers

Answer:

M1=136

m4=180-136

=44////

ILL GIVE BRAINLIEST IF YOU SOLVE THIS NO WORK NEEDED

Answers

Answer:

cosA = AB/ AD = AC/BC is the correct one.

HELP DUE IN 10 MINS!
Find the missing side measurement.

Your answer should be a simplified radical or a whole number. (no decimals allowed)

x =

Answers

Answer:

x = 20 units

Step-by-step explanation:

Given the right triangle with one side unknown

Use Pythagorean Theorem to find the value of x:

x² = 16² + 12²x² = 256 + 144x² = 400x = √400x = 20

Write the equation for a circle with the center (90,195) and a radius of 88

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Circles.

The centre of the circle is given as, (h, k)

The equation in form of centre and radius of the circle is given as,

===> (x-h) ^2 + (y-k) ^2 = r^2

hence, the equation would be,

===> (x-90)^2 + (y-195)^2 = (88)^2

A school has 320 girls and 250 boys.

Answers

Answer:

580 girls and boys

Step-by-step explanation:

Someone help and please make sure it’s right

Answers

Answer:

x=10

Step-by-step explanation:

18x=180

x=10

if my answer helps please mark as brainliest.

HURRY! please help me please quick

Answers

Answer: She jump ropes 7/3 or 2 1/3 of an hour every week

Step-by-step explanation: This is because she jump ropes 1/3 each day and there's 7 days in a week so 7/3 or 2 1/3(2 hours and 20 minutes)

I hope you are having a nice day!

Answer:

2 hours 33 minutes

Step-by-step explanation:

1/3 of an hour is 20 minutes

20 times 7 is 140

140 divided by 60 is 2.33 hours

so 2 hours and 33 minutes

Solve the equation -4p+9=-5

Answers

Answer:

p= 7/2

-4p+9=-5

-4p=-14

p=14/4

p=7/2

Which equation shows how to find how much taller Samuel's dad is than Samuel?

Answers

Answer: you will either Add or Multiply

Step-by-step explanation:

What is the area of this parallelogram?


4.9 cm²

12.25 cm²

17.15 cm²

24.01 cm²

PLS HELP!! I WILL GIVE BRAINLYIST

Answers

Answer:

The answer is 17.15! Brainliest pls :D

Answer:

C, 17.15

Step-by-step explanation:

4.9*3.5 = 17.15

what is 4/5 divide 3/10​

Answers

Answer:

4/5×10/3

4×2=8

1×3=3

8/3

i think the answer is 8/3!

Simplify (46)
Give your answer as a power of 4.

Answers

Answer:

0.00000368

Step-by-step explanation:

PLEASE HELP ME!!! I'M GIVING 11 POINTS

1. Mara has $640 in her bank account. If she withdraws $30 every month, in how many months will she have $370 remaining in her account

2. Make up an equation that has no solution and explain what that means. (Hint: It has to be a real explanation, not just "it doesn't work").

Answers

Answer:

610, 580, 550, 520, 490, 460, 430, 400, 370 It takes 9 months

Step-by-step explanation:

2: 1.50+x=π This problem is impossible.  This is because Pi is a number that goes for infinitiy so there is no answer for x.  This also means ∞ can also be an answer.

Answer:

1. 9

2.

Step-by-step explanation:

1. Mara has $640 in her bank account, she withdraws $30 each month. We don't know how many months will she withdraw until 370$. Let's write an expression first:

640 - 30x = 370

Now, subtract both sides by 640 to get -270:

-30x = -270

Last, divide both side by -30:

-30x = 270

x = 9

Now, we know she withdraws $30 for 9 months.

2. 2 + 4(3 - 2) = x

   This tells us that we do not know the answer until we solve it.

   2 + 4(3 - 2) = x

   2 + 12 - 8 = x

   6 = x

Do you like forgs???

Answers

Answer:

there ok

Step-by-step explanation:

Find the geometric mean between 28 and 32. Round to the nearest tenth if necessary.

Answers

Answer: The geometric mean is √24 * 32 = √768 = 16√3.

The geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.

What is mean?

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let x be the geometric mean between 28 and 32

The formula for the geometric mean:

x = √(a×b)

x = √(28×32)

x = √800

x = 20√2

x = 28.284

or

x = 28.29

Thus, the geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.

Learn more about the mean here:

https://brainly.com/question/22871228

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Solve for X
Potential answers are (WILL GIVE BRAINLIEST
1. 0
2. 11.4
3. 16
4. -16

Answers

Answer:

3)  16

Step-by-step explanation:

these are alternate-interior angles which are congruent

10x-23 = 137

10x = 160

x = 16

A taxi company charges passengers $1.75 for a ride, no matter how long the ride is, and an additional $0.40 for each mile traveled. The rule c = 0.40m + 1.75 describes the relationship between the number of miles m and the total cost of the ride c.
a. What is the charge for a 1-mile ride?
b. What is the charge for a 2.7-mile ride?


A. $0.40; $5.13


B. $1.75; $2.15


C. $0.40; $1.08


D. $2.15; $2.83

Answers

Answer: THE ANSWER IS D. $2.15; $2.83

a taxi company charges passengers 1.75 for a ride,?

a taxi company charges passengers 1.75 for a ride, no matter long the ride is, and an additonal $0.40 for each mile traveled. the rule c=0.40m+1.75 describes the relationship between the number of miles M and the total cost of the ride c.  

what is the charge for 2.7 mile ride

A.    5.13

B.    1.08

C.    2.15

D.    2.83

Favorite Answer

D  2.83

c = 0.4. * 2.7 + 1.75

=> c = 2.83

Step-by-step explanation: It Looks Like The Answer is D

c=0.40(2.7)+1.75=$2.83 so $2.83 is the answer

1.75+(2.7*.4)=

1.75+1.08=

2.83

The answer is $2.83

A rectangle has an area of 2x2 - 19x +45 ft? What are the dimensions of the rectangle? (hint: factor)​

Answers

I think the answer is (2x - 9)(x - 5)

The dimensions of the rectangle will be (2x - 9)(x - 5).

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the area of the rectangle is represented by a quadratic equation 2x² - 19x +45.

The dimensions of the rectangle will be the factors of the quadratic equation.

2x² - 19x + 45

2x² - 10x -9x + 45= 0

2x( x - 5 )-9(x - 5)= 0

( 2x - 9 ) ( x - 5 ) = 0

Therefore, the dimensions of the rectangle will be (2x - 9)(x - 5).

To know more about quadratic equations follow

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HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

1.324

Step-by-step explanation:

Just divide 1324 by 1000 to get your conversion rate which is 1.324

If you check, to convert $1000 into Japanese Yen, by multiplying 1.324 with $1000, you'll get 1324 Yens

A shoe store recorded the price (in dollars) of 175 pairs of women's shoes and 175 pairs of men's shoes. The data collected was used to create the following table.

Picture

Which statement accurately describes the difference in the price of men's and women's shoes at this store?


The price of women's shoes varies less than men's shoes.


Most of the men's shoes in the data set cost more than women's shoes.


Most of the women's shoes in the data set cost more than men's shoes.

The price of men's shoes has a higher interquartile range than that of women's shoes.

Answers

Answer:

Most of the men's shoes in the data set cost more than women's shoes.

Step-by-step explanation:

From what I could tell it can't be The price of men's shoes has a higher interquartile range than that of women's shoes. becuse that's false what looks to fit is Most of the men's shoes in the data set cost more than women's shoes.   since on the graph more of the mens  vaules are bigger  

HELP!!!!!!!!!!!!!!!!!!!!!!!

Answers

number 2- 5 dollars for 1 sub.

good luck! hope this helps:)

Answer:

5 dollars for 1 sub

Step-by-step explanation:

y2-y1/x2-x1=unit rate

20-10/4-2

10/2

5

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