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Use the graph of y=3^x to sketch the graph of f(x)=3^(x+3) using techniques of transformation.

Sagot :

The parent function is given below:

[tex]y=3^x[/tex]

The graph of the parent function is drawn and attached:

The transformation f(x) is a Horizontal Translation left by 3 units:

[tex]f(x)=3^{x+3}[/tex]

Thus, the point (0,1) on the graph of y becomes (-3,1) and (1,3) becomes (-2,3) as shown below:

View image SahiraN339373
View image SahiraN339373
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