Question

determine a series of transformations that would map figure u onto figure v.

Explanation:

Step1: Analyze vertical movement

Observe the y - coordinates of corresponding points. Figure U needs to be translated up. Let's assume a general point \((x,y)\) on Figure U. To move it up, we add a positive value to the y - coordinate.

Step2: Analyze horizontal movement

Observe the x - coordinates of corresponding points. Figure U needs to be translated to the right. We add a positive value to the x - coordinate of each point \((x,y)\) on Figure U.

Step3: Determine transformation steps

A translation of Figure U \(a\) units to the right and \(b\) units up will map it onto Figure V. First, translate Figure U \(x\) units to the right (where \(x\) is the horizontal distance between corresponding points). Then translate the resulting figure \(y\) units up (where \(y\) is the vertical distance between corresponding points).

Answer:

A translation to the right followed by a translation up.