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
alexira [117]
3 years ago
5

What transformation rule would represent a shift of 3 units to the left 4 units down?

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

Given:

Shift of 3 units to the left 4 units down.

To find:

The transformation rule.

Solution:

The rule of transformation is

(x,y)\to (x+a,y+b)          ...(i)

Here, a<0 if the figure shifts a units left and a>0 if the figure shifts a units right.

Similarly, b<0 if the figure shifts b units down and b>0 if the figure shifts b units up.

If a transformation represents shift of 3 units to the left 4 units down, then a=-3 and b=-4.

Putting a=-3 and b=-4 (i), we get

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

(x,y)\to (x-3,y-4)

Therefore, the correct option is B.

You might be interested in
Please help<br> log(8)10 - log(8) -3x = 1
True [87]

Answer: x=2.375937.... sorry I give you the wrong one but here the steps O here x=2.96423 will it can be any one of the two answer I give you now.

Step-by-step explanation: Hope this help :D

8 0
3 years ago
Read 2 more answers
Can someone help me with this math homework please!
jolli1 [7]

Answer:

(-3,-6) and (-3,2)

Step-by-step explanation:

A line with an undefined slope is vertical. In this case it must have x coordinates equal to -3

4 0
3 years ago
Help please question in the picture
Delvig [45]

Answer:

A. 361 meters squared

Step-by-step explanation:

hope it helps:)

6 0
3 years ago
Read 2 more answers
How do linear and exponential functions compare over time?
Murljashka [212]

Answer:

Exponential Functions

In linear functions, rate of change is constant: as x goes up, y will go up a consistent amount. In exponential functions, the rate of change increases by a consistent multiplier—it will never be the same, but there will be a pattern.

8 0
3 years ago
Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,
sweet [91]

Answer:

Hence, the particular solution of the differential equation is y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x.

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

f'' = x - \frac{3}{2}

f' = \int {\left(x-\frac{3}{2}\right) } \, dx

f' = \int {x} \, dx -\frac{3}{2}\int \, dx

f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C, where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative (f'(4) = 1):

1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C

C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)

C = -1

The first derivative is y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1, and the particular solution is found by integrating one more time and using the initial condition (f(0) = 0):

y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1  \right)} \, dx

y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx

y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C

C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0

C = 0

Hence, the particular solution of the differential equation is y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x.

5 0
3 years ago
Other questions:
  • 7 copies of the sum of 8 and 4
    9·1 answer
  • If ​$450 is invested for one year at 55​% simple​ interest, how much interest is​ earned?
    11·2 answers
  • The width of the statue of libertys head from ear to ear is 10 ft. The height of the statues head from chin to cranium is 17 ft
    15·1 answer
  • What is the long division Answer for 8639 ÷ 5?
    8·1 answer
  • I need help on this question please help -1=7+8x
    8·2 answers
  • Johnny and Dawn were in a Math competition.
    13·1 answer
  • -12x = 4<br> What’s the Answer?
    6·2 answers
  • Write down the temperature shown?
    7·1 answer
  • With 15 5/6 lbs of grain stored in the barn, Mrs.Levins will use 3 3/4 lbs to feed the goats.After feeding the horse's, 5 2/3 lb
    11·1 answer
  • Helppp plssssss math
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!