Picture Write the equations based on the vertical translations listed from f(x). The new equation is k(x).
f(0) = 2x - 3
Vertical translation up 3 units. k(x)=
Vertical translation down 4 units. k(x)=1
Vertical translation up 2 units. k(x)=
Vertical translation down 5 units. k(x)=1

9514 1404 393

Step-by-step explanation:

Vertical translation adds the amount of upward translation to the value of the function. Upward translation by 'v' units will make the new function ...

  k(x) = f(x) +v

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We assume your f(x) is 2x -3.

Up 3 units

  k(x) = f(x) +3 = 2x -3 +3

  k(x) = 2x

Down 4 units

  k(x) = f(x) -4 = 2x -3 -4

  k(x) = 2x -7

Up 2 units

  k(x) = f(x) +2 = 2x -3 +2

  k(x) = 2x -1

Down 5 units

  k(x) = f(x) -5 = 2x -3 -5

  k(x) = 2x -8

answer: the answer is 127 degrees

x = 3 ± √(5+y)