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CanadaON
Grade 12

Single transformations of log(x)

Interactive practice questions

Use the applet below to describe the transformation of $g\left(x\right)=\log_3x$g(x)=log3x into $f\left(x\right)=\log_3x+k$f(x)=log3x+k, where $k>0$k>0.

$f\left(x\right)$f(x) is the result of a translation $k$k units to the right.

A

$f\left(x\right)$f(x) is the result of a translation $k$k units to the left.

B

$f\left(x\right)$f(x) is the result of a translation $k$k units downwards.

C

$f\left(x\right)$f(x) is the result of a translation $k$k units upwards.

D
Easy
< 1min

Use the applet below to describe the transformation of $g\left(x\right)=\log_3x$g(x)=log3x into $f\left(x\right)=\log_3x+k$f(x)=log3x+k, where $k<0$k<0.

Easy
< 1min
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Outcomes

12F.A.2.3

Determine, through investigation using technology, the roles of the parameters d and c in functions of the form y = log_10(x – d) + c and the roles of the parameters a and k in functions of the form y = alog_10(kx), and describe these roles in terms of transformations on the graph of f(x)=log_10(x)

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