Question

14 what quadrant does it end up in? a figure is fully contained in quadrant iv. the figure is transformed as shown: • reflection across the y - axis • reflection across y = - x • rotate 90° clockwise in which quadrant does the resulting image lie? resulting image lie? a quadrant ii b quadrant i c quadrant iv d quadrant iii

Explanation:

Step1: Choose a Quadrant IV point

Take (1, -1) (x>0, y<0).

Step2: Reflect across y-axis

Rule: (x,y)→(-x,y). Result: (-1, -1) (Quadrant III).

Step3: Reflect across y=-x

Rule: (x,y)→(-y,-x). Result: (1, 1) (Quadrant I).

Step4: Rotate 90° clockwise

Rule: (x,y)→(y,-x). Result: (1, -1) (Quadrant IV).

Answer:

C. Quadrant IV