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
Sergeeva-Olga [200]
2 years ago
11

If f(x) = x^2 and g(x) = 1/2 f(x + 3) + 6 Describe the transformation(s)​

Mathematics
1 answer:
Bond [772]2 years ago
5 0

Answer:

First, let's define some transformations:

Horizontal translation:

For a function f(x) a horizontal translation of N is written as

g(x) = f(x - N)

If N is positive we have a translation to the right

if N is negative we have a translation to the left.

Vertical translation:

For a function f(x) a vertical translation of N is written as

g(x) = f(x) + N

If N is positive we have a translation up

if N is negative we have a translation down

Vertical dilation.

For a function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x)

Now we can see that in our problem we have:

g(x) = (1/2)*f(x + 3) + 6

Then if we start wit f(x) we have:

first we have a dilation of scale factor k = 1/2

g(x) = (1/2)*f(x)

then we have a translation of 6 units up

g(x) = (1/2)*f(x) + 6

then a translation of 3 units to the left

g(x) = (1/2)*f(x - 3) + 6

You might be interested in
1. If 6 + 3x = 27, what is 2x ?<br> A. 7<br> B. 11<br> C. 14<br> D. 18<br> E. 22
Artemon [7]

Answer:

I don't know what you mean with a b c d and e, but x=7

Step-by-step explanation:

x=7 because first you subtract 6 from each side, because you wan't to have just x, so you will get 3x=21, and then you just divide both sides by3 to get x=7

8 0
3 years ago
Which of the following is not an example of a recursive sequence?
wolverine [178]
A recursive pattern is a sequence of numbers that entails a pattern between succeeding numbers. in this case, we can see that sequence 2 has an arithmetic difference of 9, that is the proceeding terms are 40, 49, 58..  The third one has also an arithmetic difference that is increasing by 3 each. The answer then is A which has no pattern.
4 0
3 years ago
Read 2 more answers
What’s the awnser to this mathematics equation
Anestetic [448]

Answer:

Half of 9

So 4.5

6 0
2 years ago
Read 2 more answers
I need help with this
Allisa [31]

Answer:

d

Step-by-step explanation:

8 0
2 years ago
The mass of Earth is 5.97 x 1024 kilograms, and the mass of Venus is 4.87 x 1024 kilograms. What is the difference between the m
strojnjashka [21]

Answer:

1126.4

Step-by-step explanation:

5.97 x 1024 =6113.28

4.87 x 1024=  4986.88

6113.28-4986.88 =1126.4

6 0
3 years ago
Other questions:
  • Corey spent $17.00 including sales tax on 2 sandwiches and 3 drinks the sandwiches cost $5.25 each and the total sales tax was $
    5·2 answers
  • Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is inter
    10·1 answer
  • The length of a cart is 3.6 yards. What is the length in foot
    7·1 answer
  • Is -1/3 greater than -1/2?
    13·2 answers
  • Find the Value of X, And the lenght of line segment FH​
    10·1 answer
  • HELP * 10 POINTS** ‼️
    9·1 answer
  • What is the slope of this graph?
    14·1 answer
  • (2⁵ + 14 ÷ 2) • 2 pls help ;-;
    13·1 answer
  • A. &gt;<br> B. &lt;<br> C. =<br> D. none of the above
    15·1 answer
  • Samantha is solving the linear equation 15+ 5x - 9 = 5x + 8 - 4x. Her next two steps are
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!