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Suppose the point (6, -3) is on the graph of y = f(x). Find the corresponding point on the following transformations of f. y = g (x) = 1/2f (x+3)

Suppose The Point 6 3 Is On The Graph Of Y Fx Find The Corresponding Point On The Following Transformations Of F Y G X 12f X3 class=

Sagot :

The point (6, -3) is on the graph of y = f(x).

To determine the corresponding point on the following transformations of f.

[tex]y=\frac{1}{2}f(x+3)[/tex]

At (6, -3) ,

[tex]y=\frac{1}{2}f(6+3)=\frac{1}{2}f(9)[/tex][tex]-3=\frac{1}{2}f(9)[/tex][tex]f(9)=-6[/tex]

Hence the corresponding point is obtained as

[tex](9,-6)[/tex]

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