Question

Below is the graph of =yx.Translate it to make it the graph of =y++x43.

Answer 1

The general form of an absolute value equation is given in the form:

`y=|x-h|+k`

where h and k represent the shift horizontally and vertically from the original position.

The equation is given in the question to be:

`y=|x+4|+3`

This means that for the graph:

`\begin{gathered} h=-4 \\ k=3 \end{gathered}`

This means that the graph is shifted 4 units to the left and 3 units upwards.

The graph is shown below: