Respuesta :
(1, 1) is translated to (4, 1). The y coordinate has not changed, it means the graph has been shifted horizontally 3 units.
Let a be a positive number, The general rule of translation is that,
y=f(x-a) is y=f(x) shifted a units to the right
and
y=(x+a) is y=f(x) shifted a units to the left
so y=|x| shifted 3 units to the right is y=|x-3|
check:
y=|x| : (x, |x|) for x=1 is (1, |1|)=(1, 1)
y=|x-3|: (x,|x-3|) for x=4 is (4,|4-3|)=(4, 1)
Let a be a positive number, The general rule of translation is that,
y=f(x-a) is y=f(x) shifted a units to the right
and
y=(x+a) is y=f(x) shifted a units to the left
so y=|x| shifted 3 units to the right is y=|x-3|
check:
y=|x| : (x, |x|) for x=1 is (1, |1|)=(1, 1)
y=|x-3|: (x,|x-3|) for x=4 is (4,|4-3|)=(4, 1)
