Question

Below is the graph of y = h(x) .Translate it to make it the graph of y = h(x) - 4

Answer 1

- The question gives us the graph of y = h(x)

- We are asked to graph y = h(x) - 4

- The only difference between the first and second graph is that the second has been shifted vertically 4 units.

- To determine if the movement is upward or downward, we follow the rule below:

`\begin{gathered} y=f\mleft(x\mright)+h\implies\text{ This shifts the graph up by h units} \\ y=f\mleft(x\mright)-h\implies\text{ This shifts the graph down by h units} \end{gathered}`

- Applying the rule above, we find that the graph needs to be shifted by 4 units downards.

- Thus, it should look like this