Question

the transformation or series of that would transform the pink e) to the yellow figure (image)?

Explanation:

Step1: Analyze Rotation

First, check the orientation of the pink and yellow figures. The pink figure seems to need a 90 - degree rotation (either clockwise or counter - clockwise) to match the general shape orientation of the yellow figure. Let's assume a 90 - degree clockwise rotation about the origin or a suitable point.

Step2: Analyze Translation

After rotation, we need to translate (shift) the figure. Let's look at the coordinates. The pink figure's key points and the yellow figure's key points: after rotation, we can see that we need to translate the rotated figure down and to the right (or other directions depending on rotation direction). Alternatively, maybe a combination of rotation and translation. Let's consider the rotation first. A 90 - degree clockwise rotation of a point \((x,y)\) is \((y, - x)\). Then, for translation, we can calculate the shift. Looking at the grid, the pink figure after a 90 - degree clockwise rotation and then a translation down (say 6 units) and right (say 1 unit) or other combinations. Alternatively, maybe a 90 - degree counter - clockwise rotation and then translation. But more simply, by visual inspection, the transformation from pink to yellow is a 90 - degree clockwise rotation (or counter - clockwise) followed by a translation. But let's confirm the rotation first. The pink figure's "arm" is on the left, after a 90 - degree clockwise rotation, the arm would be on the bottom, which matches the yellow figure's left - most part (after translation). Then, we translate the rotated figure down. Let's count the grid squares. The pink figure's top - most point is at \(y = 5\) (approx), after rotation and translation, it moves to \(y = 0\) (approx) and then down further. Alternatively, the correct transformation is a 90 - degree clockwise rotation followed by a translation 6 units down and 1 unit right (or other similar translation). But the main transformation steps are rotation (90 degrees) and translation.

Answer:

The transformation from the pink figure to the yellow figure is a 90 - degree clockwise (or counter - clockwise) rotation followed by a translation (the specific translation can be determined by grid - based coordinate shift). The key is a combination of rotation (90°) and translation.