Respuesta :

Answer:

See below

Step-by-step explanation:

Parent function:

  • y = 3ˣ

Transformed function:

  • y = 4(3)⁻²ˣ⁺⁸ + 6, (note. I see this as 8, sorry if different but it doesn't make any change to transformation method)

Transformations to be applied:

  • f(x) → f(-x) reflection over y-axis
  • f(-x) → f(-2x) stretch horizontally by a factor of 2
  • f(-2x) → f(-2x + 8) translate 8 units right
  • f(-2x + 8) → 4f(-2x + 8)  stretch vertically by a factor of 4
  • 4f(-2x + 8) → 4f(-2x + 8) + 6 translate 6 units up