Answer:
x = -1
Step-by-step explanation:
The axis of symmetry of the graph [tex]y=(x-3)^2[/tex] is x=3 but,
If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:
[tex]x=3-4\\x=-1[/tex]
-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is
(-1 , -2) I attached an image so you can visualize clearly
