Reflect the function f(x)=(x+1)2 about the origin. What is the position of the point (−4,9) in the reflected function?(1 point) The point (−4,9) reflects to (,) in −f(−x) .
To reflect the point (−4,9) about the origin, we need to change the signs of both the x-coordinate and the y-coordinate.
Changing the sign of the x-coordinate, −4, gives us 4. Changing the sign of the y-coordinate, 9, gives us −9. Therefore, the reflected point is (4,−9).
In the function −f(−x), we need to change the sign of the y-coordinate. Therefore, the position of the point (−4,9) in the reflected function is (−4,−9).