Question

Fully describe the translation from y=f(x)to y=f(x)+3 give your answer in vector form

Answer 1

• 3 units up the y axis.
  `\begin{pmatrix}x\\ y+3\end{pmatrix}`

Step-by-step explanation:

This is a basic translation problem. f(x) + b means b units up, f(x) - b means b units down and f(x+b) means b units to left, f(x-b) means b units to right.

==

Here the graph f(x) has been shifted 3 units up so f(x) + 3 up the y axis.

No change in x axis.

In vector form:
`\begin{pmatrix}x\\ y+3\end{pmatrix}`