Question

Below is the graph of =ylog2x.Translate it to become the graph of =y−log2−x31.

Answer 1

Step-by-step explanation:

Given;

We are given the graph of a logarithmic function as shown below;

`y=log_2x`

Required;

We are required to translate this graph to become the graph of;

`y=log_2(x-3)-1`

Step-by-step solution;

Note that the parent function has been given as indicated above.

Observe that when the function becomes;

`y=log_2(x-3)`

Then it has been shifted 3 units to the right (along the x-axis).

Also, when the function has been translated as;

`y=log_2(x)-1`

Then it has been shifted 1 unit downwards (along the y-axis).

Therefore, the graph after the series of translations would appear as shown below;

Graph of

`y=log_2(x-3)-1`

Take note of the comparison between the graph of the original function and the one derived after the translation, as shown below;