NZ Level 7 (NZC) Level 2 (NCEA)
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Transformations of Logarithmic graphs (y=klogx+c)

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

$f\left(x\right)$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
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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.

Outcomes

M7-2

Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs

91257

Apply graphical methods in solving problems

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