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 is to move f(x) 3 units right and 3 units down.
The correct transformation to move the graph of f(x) = (x) to the graph of g(x) = (x+3) - 3 is 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.
The expression g(x) = (x + 3) - 3 represents shifting f(x) horizontally by 3 units to the left (negative sign indicates leftward shift) and vertically by 3 units downward (negative sign indicates downward shift).
Therefore, the correct transformation should be:
- Move f(x) 3 units left and 3 units down.
or
- Move f of x 3 units left and 3 units down.