Given the function f(x) = x^2, which of the following represents a vertical shift of 3 units up?

9514 1404 393

  f(x) = x² +3

Step-by-step explanation:

The transformation

  g(x) = a·f((x -c)/b) +d

represents a vertical expansion by a factor of 'a', a horizontal expansion by a factor of 'b' (before the horizontal shift), a horizontal (right) shift by 'c' units, and an upward shift by 'd' units.

You want only an upward shift of 3, so ...

  g(x) = f(x) +3

For f(x) = x^2, the shifted function is ...

  f(x) = x^2 +3

__

Other choices are ...

  b. (x -3)^2 = right shift by 3

  c. 3x^2 = vertical expansion by a factor of 3

  d. (x +3)^2 = left shift by 3

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation:

c

c

c

c

c

c

c

cc

c

step-by-step explanation: