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
ira [324]
3 years ago
9

(40 POINTS, WILL GIVE BRAINLIEST) There are 4 transformations for each function.

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

f(x) + n - translate the graph n units up

f(x) - n - translate the graph n units down

f(x + n) - translate the graph n units left

f(x - n) - translate the graph n units right

nf(x) - dilation of the graph along the Oy axis and the scale n

f(nx) - dilation of the graph along the Ox axis and the scale 1/n

-f(x) - symmetry of the graph with respect to the Ox axis

f(-x) - symmetry of the graph with respect to the Oy axis

-----------------------------------------------------------------------------------------------------

f(x)=-3\cdot2^{x-1}-1\\\\g(x)=2^x\\\\3g(x)=3\cdot2^x-\text{dilatation by a scale of 3}\\\\-3g(x)=-3\cdot2^x-\text{symmetry of the graph with respect to the Ox axis}\\\\-3g(x-1)=-3\cdot2^{x-1}-\text{translate the graph 1 unit right}\\\\-3g(x-1)-1=f(x)=-3\cdot2^{x-1}-1-\text{translate the graph 1 unit down}


f(x)=-\dfrac{1}{4}\cdot2^{x+1}-1\\\\g(x)=2^x\\\\\dfrac{1}{4}g(x)=\dfrac{1}{4}\cdot2^x-\text{dilatation by a scale of}\ \dfrac{1}{4}\\\\-\dfrac{1}{4}g(x)=-\dfrac{1}{4}\cdot2^x-\text{symmetry of the graph with respect to the Ox axis}\\\\-\dfrac{1}{4}g(x+1)=-\dfrac{1}{4}\cdot2^{x+1}-\text{translate the graph 1 unit left}\\\\-\dfrac{1}{4}g(x+1)-1=f(x)=-\dfrac{1}{4}\cdot2^{x+1}-1-\text{translate the graph 1 unit down}

You might be interested in
A farm processes 6,000 gallons of milk every hour. Which equation represents the amount of milk, y, that the farm processes in x
Free_Kalibri [48]

Answer:

c

Step-by-step explanation:

if y is equal to the amount of milk and 6000 gallons are made an hour then you have to multiply the amount of hours(x) by the 6000 gallons of milk made in 1 hour so y=6000x

4 0
3 years ago
Maggie is standing on a platform that is 8 feet above the ground. She throws a ball in the air that hits the ground after 2 seco
Paha777 [63]

The equation that offers the best approximation to this result is: h = -16\cdot t^{2}+28\cdot t + 8. (Choice D)

<h3>How to find the free fall formula for a given scenario</h3>

An object experiments a free fall when it is solely accelerated by gravity on the assumption of an <em>uniform</em> acceleration. The formula is described below:

h =h_{o} + v_{o}\cdot t + \frac{1}{2}\cdot g\cdot t^{2} (1)

Where:

  • h_{o} - Initial height, in feet.
  • v_{o} - Initial speed, in feet per second.
  • t - Time, in seconds.
  • g - Gravitational acceleration, in feet per square second.

If we know that t = 2\,s, h_{o} = 8\,ft, h = 0\,ft, g = -32.174\,\frac{ft}{s^{2}}, then the height formula is:

0 = 8 +2\cdot v_{o} - \frac{1}{2}\cdot (32.174)\cdot (2)^{2}

0 = -56.348+2\cdot v_{o}

v_{o} = 28.174\,\frac{ft}{s}

The equation that offers the best approximation to this result is: h = -16\cdot t^{2}+28\cdot t + 8. (Choice D)

To learn more on free fall, we kindly invite to check this verified question: brainly.com/question/13796105

5 0
3 years ago
Shirley wants to find an estimate for the number of bees in her hive.
Illusion [34]

The estimate for the total number of bees in her hive is 190 bees

<h3>How to find the total estimate of the bees ?</h3>

She catches 90 of the bees on Monday and she puts mark on each bees and return them to her hive.

On Tuesday she catches 120 of the bees. She find out that 20 of the bees has been marked.

This means only 100 bees have not been marked on Tuesday.

Therefore, the total number of bee in her hives is as follows:

total number = 90 + (120 - 20)

total number = 90 + 100

total number = 190 bees

learn more on estimate here:brainly.com/question/16670022

#SPJ1

8 0
2 years ago
Kevin is 5 feet tall. Which proportion could you use to find the height of the flagpole? A. 3/5=12/x
dalvyx [7]
The answer is going to be A.

Shadow 1 / Height 1 = Shadow 2 / Height 2
4 0
3 years ago
Read 2 more answers
In a group of 101 students 40 are juniors, 50 are female, and 22 are female juniors. Find the probability that a student picked
GREYUIT [131]
I think it might be d
5 0
3 years ago
Read 2 more answers
Other questions:
  • Number Frequency 1,400 3 1,450 7 1,500 7 1,550 5 1,600 4 1,650 2 1,700 1 What is the mode?
    15·2 answers
  • 394.6÷9 =???
    6·2 answers
  • Triangle ABC is shown with four images that are each the result of a transformation of triangle ABC. On a coordinate plane, tria
    11·2 answers
  • What is the probability of tossing a standard coin and having it land on head three times in a row?
    14·1 answer
  • What is the value of 1/2 x power of 3 + 5.3y, when x = 2 and y = 3? (1 point)
    7·2 answers
  • 4. 15% of what number is 30?
    8·1 answer
  • Find the number of squares given in the picture below.
    9·1 answer
  • Write each power of ten in standard notation. 10‐³​
    12·1 answer
  • What is the approximate area of rectangle GHIJ?<br> A: 902<br> B: 434<br> C: 672<br> D: 784
    14·1 answer
  • Is TAG BAG? IF so, identif th similarity postulate or theorem that applies
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!