Question

Below is the graph of y=3x".Translate it to make it the graph of y=3(x-4)3 +1.

Answer 1

There are two shiftments, 1 to the side along the x-axis and 1 vertical along the y-axis

Horizontal shifts:

`y=(x\pm a)^n`

Vertical shifts

`y=x^n\pm a`

Since the x is substracted 4 units, it means that the graph is translated 4 units to the right.

Since the function is completely added 1 unit its means that all the graph is shifted 1 unit up.