Question

The graph of y =(x-3)^2 is shifted left 4 units and down 2 units. What is the axis of

Answer 1

Answer:

x = -1

Step-by-step explanation:

The axis of symmetry of the graph $y=(x-3)^2$ 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:

$x=3-4\\x=-1$

-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