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

1 Answer
Jun 26, 2018

Answer:

There are two transformations applied to the graph: a vertical stretch by a scale factor of 2 and a translation 2 units to the right.

Explanation:

In order to sketch the graph, know that the vertex will be #(2,0)#. After this, plug values into the equation and plot them. Here are some points that should help you:

#(0,8)#
#(1,2)#
#(2,0)#
#(3,2)#
#(4,8)#

Here's the graph:

graph{2(x-2)^2 [-8, 12, -1, 9]}