Consider the graph of y = x2. Let matrix [P], which organizes the coordinates of the points shown, represent five points on the parabola.

a. Describe the transformation(s) that would give five corresponding points on the graph of y = (x - 5)2- 2. Sketch the graph.
b. Describe the transformation(s) that would give five points on the graph of y = -2x2. Sketch the graph.
c. Sketch the image of the portion of the graph of y = x2 represented by the product -1 · [P].
Describe the transformation(s).
d. Write a matrix equation that represents the image of five points on the graph of y = x2 after a translation left 2 units and up 3 units.

Transcribed Image Text:

-2-1 0 1 2 P 0 14 4