Answer:
The resulting function is
.
Step-by-step explanation:
Let
a real function, we define the following function operations:
Horizontal translation
(1)
If
, then horizontal translation is to the left, otherwise it is to the right.
Vertical translation
(2)
If
, then vertical translation is upwards, otherwise it is downwards.
Knowing that
and
is the result of translating
four units downwards and five units to the left. Then, we find that:

The resulting function is
.
Answer:
Step-by-step explanation:
-(-1) is 1 because if you multiply by a negative number becomes positive
so
it is 1 unit to the right of 0
Answer:
y < -2
Step-by-step explanation:
it cannot be anything with ≤ bc the circle is open
and y is < -2 because the arrow goes left basically selecting all of the numbers less than -2