Question

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

Answer 1

Answer:

$\huge\boxed{y=\bigg|\dfrac{1}{2}x-2\bigg|+4}$

Step-by-step 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

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

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

$f(x)+1=\bigg(\bigg|\dfrac{1}{2}x-2\bigg|+3\bigg)+1=\bigg|\dfrac{1}{2}x-2\bigg|+3+1\\\\=\bigg|\dfrac{1}{2}x-2\bigg|+4$

Answer 2

Answer:

[1/2x-2]+4

Step-by-step explanation:

add one to the end