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Using the graph of f(x)=x^2 as a guide describe the transformations and then sketch a graph of each function g(x)=(x+3)^2

User Winter
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The graph of f(x)=x^2 is:

g(x)=(x+3)^2 will have the same form because it has an expression to the second power.

The only thing that changes is the root, which is -3:

x+3=0

x=-3

So, the graph, we have to move the function 3 units to the left:

Using the graph of f(x)=x^2 as a guide describe the transformations and then sketch-example-1
Using the graph of f(x)=x^2 as a guide describe the transformations and then sketch-example-2
User Anas Nadeem
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