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3 years ago

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

Mathematics

2 answers:

Sunny_sXe [5.5K]3 years ago

8 0

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)

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

tresset_1 [31]3 years ago

7 0

Answer:

[1/2x-2]+4

Step-by-step explanation:

add one to the end

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