Question

u4: absolute value fct exit ticket
describe the transformation:

1. $f(x) = |x - 1| - 2$

graph of absolute value function
15)
options:
down 2 units and right 1 unit
left 1 unit and down 2 units
right 1 unit and up 2 units
right 1 unit and down 2 units

Explanation:

Step1: Recall transformation rules

For absolute value function \( y = |x - h| + k \), horizontal shift: \( h \) units (right if \( h>0 \), left if \( h<0 \)), vertical shift: \( k \) units (up if \( k>0 \), down if \( k<0 \)).

Step2: Analyze \( f(x)=|x - 1|-2 \)

Compare with \( y = |x| \). Here, \( h = 1 \) (so right 1 unit) and \( k=-2 \) (so down 2 units).

Answer:

right 1 unit and down 2 units (the last option in the dropdown: "right 1 unit and down 2 units")