Someone can help me Pleaseee
The function represents the parent function for square root functions.

Which series of transformations maps

Compress f toward the x-axis, and then translate it left 4 units.
Compress f toward the x-axis, and then translate it right 4 units.
Stretch f away from the x-axis, and then translate it right 4 units.
Stretch f away from the x-axis, and then translate it left 4 units.

Someone can help me Pleaseee The function represents the parent function for square root functions Which series of transformations maps Compress f toward the xa class=

Respuesta :

Answer:

a. Compressed f toward the x-axis, and then translated it left 4 units.

Step-by-step explanation:

General equation for this is:

 y = a√(x - h) + k

  • a is how much it's being compress or stretched
  • h is how much it's shifted in the x-direction
  • k is how much it's being shifted in the y-direction

We're given:

g(x) = 1/2√(x + 4)

g(x) = 1/2√(x - (-4))

My a-value is 1/2, so the original function f(x) is being compressed by 1/2 toward the x-axis.

My h value is -4 so it's being shifted by 4 units. It's shifted to the left because it's negative.

There is not k-value so nothing is shifted in the y-direction.