Question

Write the equations after translating the graph of y = | 1/2x−2|+3, one unit to the right

Answer 1

Answer:

we are given

y=|2x|-1

we are given to translate this equation

Whenever we translate any function to right side by 'c' units

we can replace x as x-c

Here , we have to translate one unit right

so, we can replace x as x-1

and we get

y=| 2( x-1 ) | 1

Hope this helps <3

Answer 2

$y=|\dfrac{1}{2}x-2|+3$

Since we are translating this graph one unit to the right, replace x with (x-1)

Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)

$y=|\dfrac{1}{2}(x-1)-2|+3$

After simplifying, we now have the following equation:

$=|\dfrac{1}{2}x-\dfrac{5}{2}|+3$

This is the new equation. Let me know if you need any clarifications, thanks!