The red parabola below is the image of the graph of y = x2 after a translation right 5 units and down 3 units.

a. Write an equation for the red parabola.
b. Where is the vertex of the red parabola?
c. What are the coordinates of the other four points if they are 1 or 2 horizontal units from the vertex? How are the coordinates of each point on the black parabola related to the coordinates of the corresponding point on the red parabola?
d. What is the length of blue segment b? Of green segment c?

Transcribed Image Text:

5 -2