Question

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

Answer 1

we are given

$y=|12x-2|+3$

Whenever we are given 'c' unit to left side

we can replace x as x+c

Here , it is shifted left side by one unit

so, we can replace x as x+1

so, we get

$y=|12(x+1)-2|+3$

now, we can simplify it

$y=|12x+12-2|+3$

$y=|12x+10|+3$...........Answer