# How to graph a parabola y = (x - 2)^2 + 1?

Mar 22, 2017

See below

#### Explanation:

First, graph the parent function $y = {x}^{2}$

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

Then, we transform the graph based on the problem. The $- 2$ on the inside signifies a shift to the right by $2$. The 1 on the outside signifies a shift upward by 1. So our graph becomes more like:

graph{((x-2)^2)+1 [-10, 10, -1, 9]}