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
Tanzania [10]
3 years ago
10

A polygon is translated 3 units to the right and 4 units down, then it’s reflected across the x-axis, and then it’s dilated by a

factor of 4 with the origin as the center of dilation. Create a function modeling the transformation.
Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

(x,y)\rightarrow (4x+12,-4y+16)

Step-by-step explanation:

<u>1 transformation</u> - translation 3 units to the right and 4 units down. This translation has the rule

(x,y)\rightarrow (x+3,y-4)

<u>2 transformation</u> - reflection across the x-axis. This reflection has the rule

(x,y)\rightarrow (x,-y)

<u>3 transformation</u> - dilation by a factor of 4 with the origin as the center of dilation. This dilation has the rule

(x,y)\rightarrow (4x,4y)

Now, the sequence of these three transformation has the rule

(x,y)\rightarrow\limits^{\text{1st transformation}} (x+3,y-4)\rightarrow\limits^{\text{2nd transformation}}(x+3,-(y-4))\rightarrow\limits^{\text{3rd transformation}} (4(x+3),4(-(y-4)))\\ \\(x,y)\rightarrow (4x+12,-4y+16)

You might be interested in
Erify that f has an inverse. then use the function f and the given real number a to find (f −1)'(a). (hint: see example 1. if an
zhannawk [14.2K]

The function

... f(x) = (x+2)/(x-1) = 1 + 3/(x-1)

is symmetrical about the line y=x, hence is its own inverse.


We can evaluate the desired derivative directly.

... f'(x) -3/(x-1)²

so f'(2) is

... f'(2) = -3/(2-1)²


(f^{-1})(2)=-3

8 0
3 years ago
The measurement of 2 and justification
Minchanka [31]

M<2=105. They must add up to 180.

8 0
3 years ago
The midpoint between y and 31= -5<br> What is y<br><br> Giving 10pts
Fynjy0 [20]

Answer:

this question doesnt have a solution it makes no sense

Step-by-step explanation:

6 0
2 years ago
Write these words as decimal (sixty and two tenths)
aniked [119]
60 2/10 = 60.2 <=====
5 0
3 years ago
Pls help me guys!
defon

Answer:

2

Step-by-step explanation:

The example of speed and time is a basic and appropriate example of inversely proportional. As the speed increases, the time to complete your trip will decrease

5 0
3 years ago
Other questions:
  • the diagram, JG = 5 cm and GE = 10 cm. Based on this information, can G be a centroid of triangle HJK?
    11·2 answers
  • in a certain store, the regular price of a refrigerator is $600. how much money is saved by buying the refrigerator at 20% off t
    11·1 answer
  • What is the area of the room. Bed room #2 <br> 11-10 x10-10
    5·1 answer
  • Which expression has the same value as -18+(-9)?<br> -18-2<br> -12+(-3)<br> -10-5<br> O-8(-4)
    12·1 answer
  • The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
    5·1 answer
  • Just need a correct answer.
    14·2 answers
  • Determine if 9 is rational or irrational and give a reason for your answer.
    13·2 answers
  • Michael is using a number line to evaluate the expression –8 – 3.
    6·2 answers
  • Help me please will mark brainliest
    15·1 answer
  • During a period of inflation, the graph of the consumer price index (CPI) will
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!