Question

figure g is the result of a transformation on figure f. which transformation would accomplish this? answer a translation 6 units down a reflection over the x -axis a rotation 180° counterclockwise about the origin a reflection over the y -axis

Explanation:

Step1: Analyze translation

A translation 6 units down would move all points of Figure F vertically down by 6 units. But Figure G is not a vertical - shifted version of Figure F.

Step2: Analyze reflection over x - axis

When a figure is reflected over the x - axis, the x - coordinates of its points remain the same and the y - coordinates change their signs. If we consider the points of Figure F and reflect them over the x - axis, we get Figure G.

Step3: Analyze rotation 180° counterclockwise about origin

A 180° counter - clockwise rotation about the origin changes the coordinates of a point (x,y) to (-x,-y). This is not the transformation from F to G.

Step4: Analyze reflection over y - axis

When a figure is reflected over the y - axis, the y - coordinates of its points remain the same and the x - coordinates change their signs. This is not the transformation from F to G.

Answer:

A reflection over the x - axis