Question

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

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

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

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