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 QS<br> 7<br> 22<br> 19<br> 6<br> none are correct
notsponge [240]

Answer:

-10

Step-by-step explanation:

None of the above

8 0
3 years ago
Read 2 more answers
An athlete eats 75 g of protein per day while training. How much protein will she eat during 21 days of training? Write your ans
lisov135 [29]

Answer:

1.575 kg

Step-by-step explanation:

75g x 21

1575 g

convert to kg

1.575 kg

Brainliest Appreciated!

7 0
3 years ago
What’s the slope of the line of (5,2) and (8,7)
riadik2000 [5.3K]

Answer:

The Answer is

5/3

6 0
3 years ago
Find ‘x’ in:- <br> x:6 :: 5 : 11
melomori [17]

Answer:

<h3>x:6 :: 5 : 11</h3>

x = 6*5/11=30/11

7 0
2 years ago
Use the Pythagorean Theorem to find the measure of the space diagonal line in the box
madreJ [45]

Answer:

14.42inches

Step-by-step explanation:

Given the following

b = 5 in

c = 8in

we are to find the measure of the space diagonal line

Using the pythagoras theoreml

l^2 = b^2 + c^2

l^2 = 13^2 - 5^2

l^2 = 169 -25

l^2 = 144

l = 12in

To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;

s^2 = l^2 + c^2

s^2 = 144 + 8^2

s^2 = 144 + 64

s^2 = 208

s= 14.42inches

Hence the required length ix 14.42inches

3 0
3 years ago
Other questions:
  • Round 38.7 too ok the nearest whole. Use place value understanding and a number line to show your thinking
    5·2 answers
  • Felicia invested $25,000 into an account earning 3% interest compounded annually. She makes no other deposits into the account a
    6·1 answer
  • 9 to the third power
    6·2 answers
  • Mrs.Traynor's class is taking a field trip to the zoo.The trip cost $26 for each student.There are 22 students in her class.
    6·1 answer
  • What's the area? please answer asap
    14·1 answer
  • What is the difference between union set and universal set​
    14·1 answer
  • Describe the image of a dilation with a scale factor of 1
    15·1 answer
  • A recipe calls for 5 1/2 cups of flour. Lorenzo only has 3 1/4 cups of flour. Write and solve an equation to find the additional
    5·1 answer
  • Christine is 4 years younger than Mark. 3 years from now, she will be two-thirds as old as Mark find their present ages.Complete
    6·1 answer
  • PLZZZ HELLPPP SOON REWARD BRRIANIESTTT
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!