Logarithmic Functions

NZ Level 7 (NZC) Level 2 (NCEA)

Transformations of Logarithmic graphs (y=klogx+c)

Use the applet below to describe the transformation of $g\left(x\right)=\log_3x$`g`(`x`)=`l``o``g`3`x` into $f\left(x\right)=\log_3x+k$`f`(`x`)=`l``o``g`3`x`+`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

Easy

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