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kvv77 [185]
3 years ago
7

If f(5)= 3, write an ordered pair that must be on the graph of y = f(x + 1) + 2

Mathematics
1 answer:
vlabodo [156]3 years ago
8 0

f(5) = 3 means (5,3) is on the graph of f.

On the new graph, y = f(x+1) + 2, what do the +1 and +2 do?

Things inside the function notation inpact the x-values, since that's where x sits.

This outside the f(x) notation impact the y-values, since those are done after you've evaluated the function.

"+1" on the inside shifts every point to the left 1 unit.  (Inside changes are almost always opposite from what it looks like it would do.)

"+2" on the outside will shift every point up by 2 units.

So what do you get if you take (5,3) and shift it left 1 and up 2?

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The answer to this problem is a Horizontal translation of 4 units left and a Vertical translation of 8 units up.
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4 years ago
Consider the vector x: x <- c(2, 43, 27, 96, 18) Match the following outputs to the function which produces that output. Opti
Nookie1986 [14]

<u>Completed Question</u>

Outputs to be matched to the functions are:

  • 1,2,3,4,5
  • 1,5,3,2,4
  • 1, 4, 3, 5, 2
  • 2, 18, 27, 43, 96

Answer:

  • sort(x): 2, 18, 27, 43, 96
  • order(x): 1, 5, 3, 2, 4
  • rank(x) : 1, 4, 3, 5, 2
  • none of these :  1, 2, 3, 4, 5

Step-by-step explanation:

Given the vector x: x <- c(2, 43, 27, 96, 18)

<u>Sort</u>

In R, the sort(x)  function is used to arrange the entries in ascending or descending order. By default, R will sort the vector in ascending order.

Therefore, the output that matches the sort function is:

sort(x): 2, 18, 27, 43, 96

<u>Rank</u>

The rank function returns a vector with the "rank" of each value.

x <- c(2, 43, 27, 96, 18)

  • 2 has a rank of 1
  • 43 has a rank of 4
  • 27 has a rank of 3
  • 96 has a rank of 5
  • 18 has a rank of 2

Therefore, the output of rank(x)  is: 1, 4, 3, 5, 2

<u>Order</u>

When the function is sorted, the order function gives the previous location of each of the element of the vector.

Using the sort(x) function, we obtain: 2, 18, 27, 43, 96

In the vector: x <- c(2, 43, 27, 96, 18)

  • 2 was in the 1st position
  • 18 was in the 5th position
  • 27 was in the 3rd position
  • 43 was in the 2nd position
  • 96 was in the 4th position

Therefore, the output of order(x) is: 1, 5, 3, 2, 4

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3 years ago
Mari has 39 square feet of patio bricks. Each square brick has sides 1 foot long. What is the greatest perimeter of a rectangle
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Natali5045456 [20]

Answer:

(6,2)

Step by Step explanation:

1- Add the two equations so the Xs cancel out

2- find y by dividing 6 from both sides

3- plug in the y value in the place of the y in one of the equations

4- solve the equation to find X

5 - put answer in correct format (x,y)

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