**Problem : **
If
*f* (*x*) = (*x* - 3)^{2} - 2
, what is the equation of the function if the graph is
shifted:

a) 2 units left

b) 3 units up

c) 8 units right

d) 1 unit down

b)

c)

d)

**Problem : **
What is the equation if
*f* (*x*)
is shifted 3 units up and 5 units to the right?
Give your answer in terms of
*f* (*x*)
.

**Problem : **
The domain of a function is and the range of the function is
. What are the domain and range if the function is shifted
left 2 units and up 6 units?

Range:

**Problem : **
If the domain of
*f* (*x*)
is and the range of
*f* (*x*)
is , what are the domain and range of:

a)
*g*(*x*) = *f* (*x*) + 4

b)
*g*(*x*) = *f* (*x* + 3)

c)
*g*(*x*) = *f* (*x* + 3) + 4

b) Domain: . Range:

c) Domain: . Range:

**Problem : **
What relationship does
*g*(*x*) = *f* (*x* + 2) - 8
have to
*f* (*x*)
?

**Problem : **
What relationship does
*g*(*x*) = *f* (*x* - 1) + 6
have to
*f* (*x* + 2) + 5
?

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