how could the graph of f be transformed into the graph of g

f(x)=x^2
g(x)=(x+2)^2-3

move f(x) two units to the LEFT, then 3 units DOWN

state the domain and range o fy=1/sq rt of (4-x^2)

To transform the graph of f(x) = x^2 into the graph of g(x) = (x+2)^2 - 3, we can follow these steps:

1. Horizontal Translation: The "x+2" inside the parentheses of g(x) suggests a horizontal translation of 2 units to the left. To achieve this, we move each point on the graph of f(x) two units to the left.

2. Vertical Translation: The "-3" outside the parentheses of g(x) suggests a vertical translation of 3 units downward. To achieve this, we move each point on the graph obtained from the previous step three units downward.

By following these steps, we can transform the graph of f(x) into the graph of g(x).

To visualize this transformation, you can plot the points on a graph or use graphing software to graph both functions f(x) = x^2 and g(x) = (x+2)^2 - 3. By comparing the two graphs, you will notice the horizontal and vertical shifts involved in the transformation.