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

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

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Answer 1 · 2018-06-26T00:51:54

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]}

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

1 Answer

Explanation:

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