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LuckyWell [14K]
3 years ago
8

Which equation is perpendicular to the y axis

Mathematics
1 answer:
docker41 [41]3 years ago
6 0
C is the only one that is perpendicular.
The quickest way I can explain it is that the y-axis runs up and down, making the slope undefined. Something perpendicular to an undefined slope is a 0-slope. The only equation of the choices that has a 0-slope is C. Comment if you want a more detailed answer.
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Please show full solutions! WIll Mark Brainliest for the best answer. <br><br> SERIOUS ANSWERS ONLY
Ierofanga [76]

Answer:

  • vertical scaling by a factor of 1/3 (compression)
  • reflection over the y-axis
  • horizontal scaling by a factor of 3 (expansion)
  • translation left 1 unit
  • translation up 3 units

Step-by-step explanation:

These are the transformations of interest:

  g(x) = k·f(x) . . . . . vertical scaling (expansion) by a factor of k

  g(x) = f(x) +k . . . . vertical translation by k units (upward)

  g(x) = f(x/k) . . . . . horizontal expansion by a factor of k. When k < 0, the function is also reflected over the y-axis

  g(x) = f(x-k) . . . . . horizontal translation to the right by k units

__

Here, we have ...

  g(x) = 1/3f(-1/3(x+1)) +3

The vertical and horizontal transformations can be applied in either order, since neither affects the other. If we work left-to-right through the expression for g(x), we can see these transformations have been applied:

  • vertical scaling by a factor of 1/3 (compression) . . . 1/3f(x)
  • reflection over the y-axis . . . 1/3f(-x)
  • horizontal scaling by a factor of 3 (expansion) . . . 1/3f(-1/3x)
  • translation left 1 unit . . . 1/3f(-1/3(x+1))
  • translation up 3 units . . . 1/3f(-1/3(x+1)) +3

_____

<em>Additional comment</em>

The "working" is a matter of matching the form of g(x) to the forms of the different transformations. It is a pattern-matching problem.

The horizontal transformations could also be described as ...

  • translation right 1/3 unit . . . f(x -1/3)
  • reflection over y and expansion by a factor of 3 . . . f(-1/3x -1/3)

The initial translation in this scenario would be reflected to a translation left 1/3 unit, then the horizontal expansion would turn that into a translation left 1 unit, as described above. Order matters.

8 0
2 years ago
Amber made 6/8 of her free-throws in the last basketball game. What percent of free-throws did Amber make?
likoan [24]
If you divide 6 by 8= 0.75, which is equivalent to 75%. So Amber made 75% of her free throws. 
8 0
4 years ago
Read 2 more answers
Or btao koi h meri baat samjhne wala <br>h koi ..<br>koi nhi h ..<br>bc​
8_murik_8 [283]

Answer:

Main hu haha

Step-by-step explanation:

hii!! how are you??

7 0
3 years ago
PLEASE ANSWER Chelsea is budgeting for her trip to the mall. She does not want to spend any more than $140. If she wants to buy
Tcecarenko [31]
Let s equal the number of shirts she can buy

140 > $28.50 + $20.75s
111.50 > 20.75s
5.37 > s

so we round down.  she can buy 5 shirts, plus the one dress and she would spend less than $140

4 0
3 years ago
REPOST
melamori03 [73]

Answer:

  1. 5/48, 3/16, .5, .75, 13
  2. 1/5, .35, 12/25,  .5, 4/5
  3. -3/4, -7/10, 3/40, 8/10
  4. -.65, -3/8, 5/16, 2/4

Step-by-step explanation:

  1. 5/48 = 1.0291666666 | 3/16 = .1875 the rest is obvious
  2. 1/5 = .2 | 12/25 = .48 | 4/5 = .8
  3. -3/4 = -.75 | -7/10 = -.7 | 3/40 = .075 | 8/10 = .8
  4. -3/8 = -.375 | 5/16 = .3125 | 2/4 = .5
5 0
3 years ago
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