Which of the following transformations should be used to move the graph of f(x)=(x) to the graph of g(x)=(x+3)−3 ?(1 point) Responses Move f(x) 3 units right and 3 units down. Move f of x 3 units right and 3 units down. Move f(x) 3 units left and 3 units down. Move f of x 3 units left and 3 units down. Move f(x) 3 units right and 3 units up. Move f of x 3 units right and 3 units up. Move f(x) 3 units left and 3 units up.
The correct transformation should be "Move f(x) 3 units left and 3 units down."
To move the graph of f(x)=(x) to the graph of g(x)=(x+3)−3, you need to move f(x) 3 units left and 3 units down.
To move the graph of f(x)=(x) to the graph of g(x)=(x+3)−3, we need to perform two transformations: a horizontal shift and a vertical shift.
1. Horizontal Shift:
The term "x+3" in g(x) indicates a shift to the left by 3 units. Therefore, we need to move the graph of f(x) 3 units to the left.
2. Vertical Shift:
The term "-3" in g(x) indicates a shift downward by 3 units. Therefore, we need to move the graph of f(x) 3 units downward.
Combining these two transformations, we can conclude that the correct response is to "Move f(x) 3 units left and 3 units down."