Translations, Reflections, & Rotations

2. Look at the graph below. The blue circular cone is the pre- Each of the following questions will deal with a displayed image with a base on the y-z plane. Point C' (0, 0, 0) is the translation. For each question, the pre image will be blue, and the center of the blue circular base of the pre-image. The radius image will be red. of the blue circular base is 2. Point P is on the x-axis and is Points on the pre-image will be P, Q, R. ... the apex of the pre-image. The red circular cone is the Corresponding points on the image will be P', Q', '... image. Point C" (-3, 0, 2) is at the center of the red circular Read the description of each set of axes and question carefully. base of the image. The radius of the red circular base is 1. Write your answers in the spaces provided. Answer the following questions. 1. Look at the graph below and answer the following questions. Z e C' (-3, 0, 2) C (0, 0, 0) a. Describe the transformation from the blue pre-image to the red image using correct distances. a. What are the coordinates for point P? b. If the coordinates of point Pare (0, 0, 2), what are the b. What are the coordinates for point P*? coordinates of P'? c. Describe the translations that can be applied to the pre-image c. What are the coordinates of point @? in order to produce the image. d. What are the coordinates of point Q'? d. What is the scale factor