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
These are the first six terms of a sequence with a = 2:
inn [45]

Answer:

a_{n} = 9a_{n-1}

Step-by-step explanation:

Note there is a common ratio r between consecutive terms of the sequence, that is

r = 18 ÷ 2 = 162 ÷ 18 = 1458 ÷ 162 = 13122 ÷ 1458 = 9

A recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is

a_{n} = 9a_{n-1} with a₁ = 2

7 0
3 years ago
Can someone help me please?
jarptica [38.1K]

Answer: Circumcenter

Step-by-step explanation: The circumcenter is the point where all perpendicular bisectors of a triangle meet. The 3 perpendicular bisectors of the 3 sides of the triangle meet at the point which is labeled in this triangle as H.

3 0
1 year ago
Describ a real world situation where oppisite quantities equal zero
Neporo4naja [7]
I THINK this may be the answer not 100% sure tho!

1. Two forces equal and acting in opposite direction result in zero force.

2.Sum of two moment of forces acting in opposite sense produce zero resultant.

Any two equal and opposite vectors produce zero net effect
6 0
3 years ago
A weight lifter can deadlift 275 pounds. She can increase the weight that she can lift according to the function W(x)=275(1.05)^
suter [353]

Answer:

350.98\ pounds

Step-by-step explanation:

we have

W(x)=275(1.05^{x})

where

W is the weight in pounds

x is the number of training cycles completed

For x=5\ cycles

substitute the value of x in the function

W(5)=275(1.05^{5})=350.98\ pounds

3 0
3 years ago
Can anyone help me please 3t-1/4=7/8
julsineya [31]
3t − 1/4 = 7/8

Add 1/4 to both sides.

3t + −1/4 + 1/4 = 7/8 + 1/4

3t = 9/8

Divide both sides by 3.

3t/3 = 98/3

t=3/8

3 0
3 years ago
Other questions:
  • van someone please help me with this i dont need an explaination i just need a. b. c. or d. please and thank you
    10·1 answer
  • A tortoise is walking in the desert. It walks for
    14·1 answer
  • For a class trip, a total of 116 ticket need to be purchased. The cost of an adult ticket is $17000. The cost of a child ticket
    10·2 answers
  • What is the surface area of the triangular prism?
    7·2 answers
  • Starting at noon, the temperature dropped steadily at a rate of 0.08 degrees Celsius every hour.
    13·1 answer
  • Whats the number of 10% of 24
    11·1 answer
  • Simplify<br> (8^2)^3<br><br> I thought it was 8^5 of five but I might be wrong
    5·1 answer
  • PLSSS I NEED HELP—<br> Which expression is equivalent to -12y + 36
    8·1 answer
  • A 22 foot ladder leans against a building. The distance between the bottom of the ladder and the base of the building is 9 feet.
    6·2 answers
  • Find four consecutive integers whose sum<br> is -22.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!