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
What is the probability of selecting a seventh-grader from a school that has 250 sixth-graders, 225 seventh-graders, and 275 eig
Nina [5.8K]

Answer:

3/10 or 0.3 or 30%

Step-by-step explanation:

Its 225/750 total students

We simplify this by dividing by 5

45/150

Divide by 5 again

9/30

Divide by 3

3/10

3 0
3 years ago
Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how
vladimir1956 [14]
Neptune's distance from the sun is d₁ = 4.503 x 10⁹ km.
Mercury's distance from the sun is d₂ = 5.791 x 10⁷ km.

Calculate the number of times d₁ is greater than d₂.
\frac{d_{1}}{d_{2}} = \frac{4.503 \times 10^{9}}{5.791 \times 10^{7}} = 77.75859

Answer: 7.7759 x 10⁻¹ times
4 0
3 years ago
De║bc, ad=2cm and bd=3cm, then area(Δabc):area(Δade) is equal to
xxTIMURxx [149]

Answer:

<u>B</u><u>.</u><u>2</u><u>:</u><u>3</u>

Step-by-step explanation:

hope it helps brainliest me please

5 0
2 years ago
For mutually exclusive events we can use the ____ Principle of Counting.
leonid [27]
Fundamental principle of  counting
5 0
3 years ago
Caroline measured the weight of a dog that came into the veterinary clinic. She determined that her measurement had a margin of
Andrews [41]

Weight of the dog in kgs-0.05 kgs

3 0
3 years ago
Other questions:
  • William wants to buy a new skateboard that costs $48.80. He has saved ¼ of the amount necessary. How much money has he saved?
    6·2 answers
  • Explain how you know weather to add or subtract when you use the distributive property to multiply
    12·2 answers
  • Plz ANWSER and make sure it’s in decimal form, plz show ur work <br> Overdue will mark brainest!
    12·2 answers
  • Find the value of x. Express your answer in simplest radical form
    9·1 answer
  • if each cube inside the rectangular prism has an edge length of three-forth inch then what is the volume
    10·2 answers
  • 1. Solve for y 4x + 2y = 6<br>​
    7·1 answer
  • (3.56 × 102) + (2.17 × 104) in scientific notation
    14·1 answer
  • Parallel lines <br><br> What is the segment
    9·2 answers
  • (0,8)<br> (-2,0). What is the equation of the linear graph shown?
    5·1 answer
  • I REALLY NEED HELP FAST I WILL GIVE BRAINLYEST
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!