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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