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

1 Answer
May 16, 2018

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

Look explanation for graph.

Explanation:

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]}