Question

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

Answer 1

[1/2x-2]+4

Explanation:

add one to the end

Answer 2

`\huge\boxed(1)/(2)x-2\bigg`

Explanation:

f(x) + n - translation n units up

f(x) - n - translation n units down

f(x + n) - translation n units to the left

f(x - n) - translation n units to the right

We have

`y=\bigg|(1)/(2)x-2\bigg|+3\to f(x)=\bigg|(1)/(2)x-2\bigg|+3`

translation 1 unit up (f(x) + 1)

`f(x)+1=\bigg(\bigg|(1)/(2)x-2\bigg|+3\bigg)+1=\bigg|(1)/(2)x-2\bigg|+3+1\\\\=\bigg|(1)/(2)x-2\bigg|+4`