Question

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

Answer 1

`(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]}