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
Ulleksa [173]
3 years ago
13

The parent function f(x) = log5x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of

two and shifting it down three units. Which function is representative of this transformation? g(x) = log5(2x) - 3 g(x) = log5(-2x) + 3 g(x) = -2log5(x) - 3 g(x) = 2log5(x) + 3
Mathematics
2 answers:
Arada [10]3 years ago
8 0

Answer:

Option 3 -  g(x)=-2log_5 (x)-3

Step-by-step explanation:

Given : The parent function f(x)=log_5 (x) has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units.

To find : Which function is representative of this transformation.

Solution : The parent function y=log_5 (x)

  • Transformed by reflecting it over the x-axis.

Transformation over x-axis is f(x,y)→f(x,-y)

-y=log_5 (x)

y=-log_5 (x)

  • Stretching it vertically by a factor of two

Stretching it vertically means multiply the factor by output constant given.

Multiply the parent function by 2.

y=-2log_5 (x)

  • Shifting it down three units.

Shifting downwards means f(x)→f(x)-b , function shift downward by b unit.

y=-2log_5 (x)-3

Therefore, The new function formed is  g(x)=-2log_5 (x)-3

So, Option 3 is correct.

Vlada [557]3 years ago
5 0
To reflect it over the x axis, all y units get multiplied by -1, so we multiply the equation by -1. After that, to stretch it vertically, we multiply it by that factor, which is 2. Right now , we have -2log(5x). Lastly, we shift it down 3 units by subtracting 3 from the overall equation, resulting in  -2log(5x)-3
You might be interested in
Find the number of elements in A1 ∪A2 ∪A3 if there are 100 elements in A1, 1000 in A2, and 10,000 in A3 if a) A1 ⊆ A2 and A2 ⊆ A
Stella [2.4K]

Answer:

Step-by-step explanation:

Given that there are 3 sets such that  there are 100 elements in A1, 1000 in A2, and 10,000 in A3

a) If A1 ⊆ A2 and A2 ⊆ A3

then union will contain the same number of elements as that of A3

i.e. n(A1 ∪A2 ∪A3)=n(A3) =10000

b) If the sets are pairwise disjoint.

union will contain the sum of elements of each set

n(A1 ∪A2 ∪A3) = 100+1000+10000=11100

c) If there are two elements common to each pair of sets and one element in all three sets

We subtract common elements pairwise and add common element in 3

i.e. n(A1 ∪A2 ∪A3) = 100+1000+10000-2-2-2+1\\= 10995

5 0
3 years ago
Divide 72Kg in the ratio of 1 3 5
earnstyle [38]
First add the ratio 1:3:5 together to give you the total number:
             1 + 3 + 5 + = 9
Therefore you divide 72 by 9 to give you one part 
             72 divide 9 = 8 
Now you times each part of the ratio by 8:
             1 x 8 = 8 
             3 x 8 = 24 
             5 x 8 = 40 
Therefore the answer would be written like this:
8:24:40 

Hope this helps 
8 0
3 years ago
A high school is conducting a vote to see which class (freshman, sophomore, junior, or senior) can go to see a play performance.
Lady_Fox [76]
The probability of an event is considered fair when the probability of the event happening is equally likely.

Thus, the way <span>each vote should be counted so that the outcome is fair is "</span><span>The freshman votes count as 1 vote, the sophomore as 1.14 votes, the juniors as 1.45 votes, and the seniors as 1.23 votes.</span>"
6 0
3 years ago
Please Help, Please Help, Please Help
bazaltina [42]

Answer:

a=76 b=83

Step-by-step explanation:

for a. we divide 6688(area) by 88 to find the width bc 88*w=6688

6688/88 is 76 so a=76

Since 312 is perimeter we have to subtract 73 twice and then divide that by 2 bc 73+73+L+L=312

(312-73-73)/2=83 so b=83

3 0
3 years ago
If its not an protractor then what is it?
irina1246 [14]

Answer: If it is not a protractor then it is a ruler. A ruler may determine measurements over a thermometer or pencil.

Step-by-step explanation:

6 0
1 year ago
Read 2 more answers
Other questions:
  • PLEASE HURRY!!!!!!!
    6·1 answer
  • Out of 60 people surveyed at the movies, 45 people said they bought popcorn.If there were 420 people at the movies how many woul
    7·1 answer
  • The histogram shows the ages of people in a community chorus.
    7·2 answers
  • If your good at maths help me
    8·2 answers
  • The speed of light is 3 x 105 kilometers per second. What is that in standard form?
    14·2 answers
  • At a Zoo, 3 pandas eat a total of 181 1/2 pounds of bamboo shoots each day.The male panda eats 3 times as much the baby. How man
    5·1 answer
  • Evaluate. 43 – 10 ÷ 2 + [(7 + 3) • 3]
    15·2 answers
  • The third musketeer on this excursion bought an iWatch for $220, that was originally $250. What was the percent discount on his
    9·1 answer
  • The measure of an angle is 54º. What is the measure of its complementary angle?​
    5·2 answers
  • Jose sold half of his comic books and then bought 25 more. He now has 45. How many did he start out with?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!