How do you sketch the graph of $y=3(x-2)^2-1$ and describe the transformation?

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Answer 1 · 2018-05-16T05:54:12

The transformation of the graph is: Shift to 2 units in the right direction (or towards positive x-direction).

Look explanation for graph.

let $f(x)=3x^2-1$

This means that $f(x-2)=3(x-2)^2-1$

Therefore, the graph of $f(x-2)$ is a shift to 2 units in the POSITIVE x-direction, since it;s x-2.

Thus, the graph of $f(x-2)$ would be the graph of $f(x)$ shifted to two units in the right.

Thus the graph of $f(x-2)$ would look like:
graph{3(x-2)^2-1 [-10, 10, -5, 5]}

How do you sketch the graph of y=3(x-2)^2-1y=3(x-2)^2-1 and describe the transformation?