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

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

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Answer 1 · 2017-03-22T17:06:22

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]}

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

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