Question

A function and how it is to be shifted is given. Find the shifted function and then display the given function and the shifted function on the same screen of a graphing calculator.y= the square root of 3x+1, down 3, right 4(Type an exact answer, using radicals as needed.)

Answer 1

Solution

We are given the function

$y=\sqrt[]{3x+1}$

We shift it down by 3 unit

Thus, y becomes

$y=\sqrt[]{3x+1}-3$

Then, to the right by 4 units

$y=\sqrt[]{3(x-4)+1}-3$

Therefore, the shifted function is

$y=\sqrt[]{3(x-4)+1}-3$

We are left with drawing the graph