New Zealand
Level 7 - NCEA Level 2

# 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
Easy
Less than a minute

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