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
earnstyle [38]
3 years ago
14

The function f(x)=3 (x+6)^2+8 is shifted 4 units up and 3 units right to form another function g(x). What is g(x)?

Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0

Answer:

g(x) = 3\cdot (x+3)^{2}+12

Step-by-step explanation:

There are two operations involved:

Vertical translation:

f'(x) = f(x) \pm c,\,c\in \mathbb{R} (1)

Note: Positive sign represent a translation upwards.

Horizontal translation:

f'(x) = f(x\pm c), x\in \mathbb{R} (2)

Note: Positive sign represent a translation leftwards.

Then, the new function must be:

g(x) = f(x-3)+4

g(x) = 3\cdot (x+3)^{2}+12

You might be interested in
Which of these best describes the hypotenuse-angle theorem?
Amiraneli [1.4K]
The hypotenuse angle theorem<span> basically states that if the hypotenuse and an acute angle of one right triangle</span><span> are congruent to the </span>hypotenuse<span> and an acute </span>angle<span> of another right triangle, then the two triangles are congruent.

So I would say D is correct</span>
5 0
3 years ago
Read 2 more answers
The number of blue chips is 3 more than twice the number of red chips
Elenna [48]

Answer:

red: x

blue: 2x+3

Step-by-step explanation:

let the number of red chips= x

let the number of blue chips= 2x+3

7 0
3 years ago
Read 2 more answers
B. Translate each word into algebraic eqaution. (Use any letter)
Paraphin [41]

Answer

1. 9

1. 13

1. 147

1. 7/3

1. 9

Step-by-step explanation:

Algebraic equations

1. 2x=18

2. x-5=8

3. (x/7)=21

4. 3x+5=12

5. 2x=18

4 0
2 years ago
A pizza restaurant gave a 20% discount on the supreme pizza which cost $16. what was the sale price?
Inga [223]

Answer:

you saved $3.20

Step-by-step explanation:

16 x 20/100

16 x 0.2

= 3.20

so 16-3.20= 12.80

final price is 12.80

6 0
2 years ago
Need help with numbers 1,2&amp;3 pls asap
sineoko [7]
-4(-x-10)= 4x• 40
11g+4-6g+7s-10 =16g+6-7s
3(10+9x)+11-3x= 13x+19
5 0
3 years ago
Other questions:
  • A box of cereal cost 3.59 for 30 oz. How mich is the unit per ounce ? Round to the nearest cent
    7·1 answer
  • a sinusoid always function has an amplitude of 3, a frequency of 1/8pi, and a midline at 2. Which of the following equations sat
    15·1 answer
  • 3x+1=2 what’s is x equal to???please help me
    14·1 answer
  • An experimental vehicle is able to travel 3/8 mile on 1/16 gallon of water. What is the rate at which the vehicle can travel, in
    15·1 answer
  • write an equation for the sentence. (Do not use any spaces) six times the sum of a number and five is 16​
    15·2 answers
  • Help! I need new dish soap. Which
    15·1 answer
  • The perimeter of a rectangle is 70cm.
    15·1 answer
  • Solve for V . 7v-20=-6(v-1) Simplify your answer as much as possible.
    7·2 answers
  • FREEEE POINTSSSSSSSS<br><br> 10 MINUS 8
    9·2 answers
  • Law of sines problem, please help. solving for x<br>​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!