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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) = 4x - 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.

a) g(x) = - 4x + 6.
b) g(x) = - 4x - 6.
c) g(x) = 4x + 6.

Problem :
If f (x) = 16x^{2} - 3x + 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.

a) g(x) = 16x^{2} + 3x + 4.
b) g(x) = - 16x^{2} + 3x - 4.
c) g(x) = - 16x^{2} - 3x - 4.

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.

a) g(x) = - x^{3}.
b) g(x) = - x^{3}.
c) g(x) = x^{3}.

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.

a) Domain: . Range: .
b) Domain: . Range: .
c) Domain: . Range: .