Respuesta :

Answer:

Step-by-step explanation:

Parent function has been given as,

f(x) = |x|

Vertex → (0, 0)

Line of symmetry → x = 0

After transformation, image function is,

g(x) = 2|x + 2| - 3

Transformation shows that the function 'f' is vertically stretched by a scale factor of 2, followed by shifting of 2 units to the left and 3 units down.

Therefore, vertex of the transformed function will be shifted by 2 units left and 3 units down.

Vertex → (-2, -3)

Line of symmetry will be shifted by 2 units left.

Therefore, Line of symmetry → x = -2