1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bixtya [17]
3 years ago
11

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 grap

h it and its parent function, y = 0.5x, on the same axes. The parent function y = 0.5x is across its domain because its base, b, is such that . The function, f, shifts the parent function 8 units . The function, f, shifts the parent function 5 units .

Mathematics
2 answers:
IrinaVladis [17]3 years ago
5 0

Answer:

The Translation is 5 units to the right and 8 units up

Step-by-step explanation:

* Lets talk about some transformation

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Now lets solve the problem

∵ The parent function is y = (0.5)^x

∵ f(x) = (0.5)^x - 5 + 8 after translation

- The x in the first function is (x - 5) in the second function

∴ There is a horizontal translation to the right 5 units

- the first function is (0.5)^x in the second function y = (0.5)^x - 5 + 8

∴ There is a vertical translation up 8 units

* The Translation is 5 units to the right and 8 units up

- Look to the attached graph to more understand

- The purple graph is y = (0.5)^x

- The black graph is f(x) = (0.5)^x-5 + 8

- To check the answer take a point from the y = (0.5)^x as (0 , 1), the

 image of this point on f(x) is (5 , 9)

-The point (0 , 1) is shifted 5 units to the right and 8 units up

∴ Its x- coordinate move from 0 to 5, y- coordinate move from 1 to 9

n200080 [17]3 years ago
4 0

Answer:

The parent function y = 0.5x is DECREASING  across its domain because its base, b, is such that 0<b<1.

The function, f, shifts the parent function 8 units UP .

The function, f, shifts the parent function 5 units RIGHT .

You might be interested in
Help please need answer asap
MaRussiya [10]

Answer:

f(x) = x - 3

Step-by-step explanation:

y = mx + b

first let's find b, the y-intercept

based on the graph, the y-intercept is (0,-3), so b = -3

immediately, we can eliminate f(x) = 3 - x and f(x) = -3x

comment any questions pls

6 0
3 years ago
Read 2 more answers
assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions
AfilCa [17]

Given:

Total number of questions = 6

Choice for each question (in MCQ) = 4

Assuming that no questions are left unanswered.

To find:

The total number ways to answer the quiz, assuming that no questions are left unanswered.

Solution:

Here, Number of ways to answer each question = 4

To find the  total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.

Total number of ways to answer six-question quiz with 4-choice multiple choice questions is

4\times 4\times 4\times 4\times 4\times 4=4096

Therefore, the required number of ways is 4096.

3 0
3 years ago
Daniel earns $3.18 in 3<br> days how much money<br> will he earn in 7 days?
coldgirl [10]

Answer:

$7.42

Step-by-step explanation:

1. divide $3.18 by 3 (it equals $1.06)

2. multiply $1.06 by 7 (it equals $7.42)

7 0
3 years ago
Can you solve it please and explain step by step how u got it ?????Please​
allochka39001 [22]

Answer:

m<7 = 61

Step-by-step explanation:

These angles (<7, and <8) are adjacent to each other (they are next to each other), therefore they are supplementary (add up to 180).

180 - 119 = m<7

4 0
3 years ago
Calculate the measure of ∠ PMU and ∠ UPM.
Kay [80]
Angle PMU= 56 Angle UPM=62
4 0
2 years ago
Read 2 more answers
Other questions:
  • Evaluate each expression is a=3, b=6, c=5, and d=9<br> solve 6d-(c)(c)
    14·1 answer
  • Solve for x. x − 7.67 ≥ 8.4
    11·1 answer
  • In four years time a mother will be three times as as old as her son. Four years ago she was five times as old as her son. Find
    11·1 answer
  • Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
    6·1 answer
  • A car can travel 60 miles on 3 gallons of gasoline. How far can it travel on 11 gallons of gasoline?
    6·2 answers
  • Pls help asapComplete the table using the function n = 9b + 19.
    10·1 answer
  • Find the equation of the line
    13·1 answer
  • HELP PLEASE.. I WILL GIVE BRIANLIEST TYSM
    11·2 answers
  • Please help with my math homework ​
    9·2 answers
  • The brick will be painted. Which measure will help the painter know how much paint to buy?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!