Here is the graph of *y* = *f* (*x*):

**Problem : **
Graph *y* = - *f* (*x*).

**Problem : **
Graph *y* = *f* (- *x*).

**Problem : **
Graph *x* = *f* (*y*).

**Problem : **
Graph *y* = - *f* (- *x*).

**Problem : **
If *f* (*x*) = 4*x* - 6, what is the equation of the function if:

a) The graph is reflected over the *x*-axis.

b) The graph is reflected over the *y*-axis.

c) The graph is rotated 180^{o} around the origin.

b)

c)

**Problem : **
If *f* (*x*) = 16*x*^{2} - 3*x* + 4, what is the equation of the function if:

a) The graph is reflected over the *y*-axis.

b) The graph is reflected over the *x*-axis.

c) The graph is rotated 180^{o} around the origin.

b)

c)

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

a) The graph is reflected over the *x*-axis.

b) The graph is reflected over the *y*-axis.

c) The graph is rotated 180^{o} around the origin.

b)

c)

**Problem : **
The domain of a function is and the range of a function is
, what are the domain and range if:

a) The graph is reflected over the *x*-axis.

b) The graph is reflected over the *y*-axis.

c) The graph is rotated 180^{o} around the origin.

b) Domain: . Range: .

c) Domain: . Range: .

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