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