Question

consider the two figures. which rule maps figure 1 onto figure 2? (x,y)→(x - 7,y + 5) (x,y)→(x - 5,y + 7) (x,y)→(x + 5,y - 7) (x,y)→(x + 7,y - 5)

Explanation:

Step1: Analyze horizontal translation

Observe the x - coordinates of corresponding points. Figure 1 moves to the right to get to Figure 2. If a point \((x,y)\) moves to the right, the x - value increases.

Step2: Analyze vertical translation

Figure 1 moves down to get to Figure 2. If a point \((x,y)\) moves down, the y - value decreases.

Step3: Check each option

For the transformation \((x,y)\to(x + 7,y-5)\), adding 7 to the x - coordinate moves the point 7 units to the right and subtracting 5 from the y - coordinate moves the point 5 units down.

Answer:

\((x,y)\to(x + 7,y - 5)\)