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is the answer to this a horizontal stretch by a factor of 9???vertical stretch by factor of 3horizontal translation 2 units lefthorizontal stretch by factor of 9vertical translation 2 units up

Is The Answer To This A Horizontal Stretch By A Factor Of 9vertical Stretch By Factor Of 3horizontal Translation 2 Units Lefthorizontal Stretch By Factor Of 9ve class=

Sagot :

We have

[tex]f(x)=log_3(x)[/tex]

and

[tex]g(x)=log_3(9x)[/tex]

We rewrite g(x)

[tex]g(x)=\frac{log(x)+log(9)}{log\left(3\right)}[/tex][tex]g(x)=\log_3\left(x\right)+2[/tex]

As we can see we have a vertical translation 2 units up

ANSWER

vertical translation 2 units up

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