Respuesta :

mhanifa

Answer:

From the shape of the graph we can state it is the transformation of the square root function:

  • f(x) = [tex]\sqrt{x}[/tex]

This is a reflection of f(x) over x-axis, translation 3 units left and 2 units up.

The transformation is:

  • g(x) = - f(x + 3) + 2

The equation is:

  • g(x) = - [tex]\sqrt{x+3} +2[/tex]

Its translated square root function

  • y=√x

Rotate along x axis

  • y=-√x

shift 3 units left

  • y=-√x+3

shift 2 units up

  • y=-√(x+3)+2