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

Jun 26, 2018

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 $\left(2 , 0\right)$. After this, plug values into the equation and plot them. Here are some points that should help you:

$\left(0 , 8\right)$
$\left(1 , 2\right)$
$\left(2 , 0\right)$
$\left(3 , 2\right)$
$\left(4 , 8\right)$

Here's the graph:

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