Question

For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shiftQuestion 11 options:A) right 3 and upward 2.B) left 2 and downward –3.C) left 3 and downward 2.D) right 2 and upward 3.

Answer 1

`\begin{gathered} Parent\text{ function:} \\ f(x) \\ \\ f(x-h)+k \\ \\ \\ \end{gathered}`

If h > 0 the parent function shift to the right

If h < 0 the parent function shift to the left

If k > 0 the parent function shift upward

If k < 0 the parent function shift dpwnward

In the given case you have:

h=2

k= 3

`f(x-2)+3`Then, the function will shift right 2 (h > 0) and upward 3 (k >0)