Respuesta :

Answer:

  • See below

Step-by-step explanation:

Given function:

  • y = 1/2|x + 3| + 2

This is a transformation of the absolute value function y = |x|.

The transformations are:

  • 1. Dilation by a scale factor of 1/2
  • 2. Translation left by 3 units
  • 3. Translation up by 2 points

The locator point is the vertex:  (-3, 2)

Domain is any value: x = (- ∞, + ∞)

Range is anything not less than 2: y ≥ 2 or y = [2, + ∞)

See the graph attached

Ver imagen mhanifa