How do you use the important points to sketch the graph of y=(x-5)^(2)?

1 Answer
Jul 21, 2018

(5,0), (6,1), (7,4), (4,1), (3,4)
graph{(x-5)^2 [-10, 10, -5, 5]}

Explanation:

First, start off with the important points of the parent function y=x^2 which are (0,0), (1,1), (2,4), (-1,1), (-2,4)

graph{x^2 [-10, 10, -5, 5]}

From the x-5 in this equation, we know that each x coordinate of each important point shifts right 5 units, so we can add 5 to each x coordinate on the important points of the parent function, giving us the new coordinates of

(5,0), (6,1), (7,4), (4,1), (3,4)

graph{(x-5)^2 [-10, 10, -5, 5]}