Given the functions f (x) = and g (x) =

Which statement describes the transformation of the graph of function f onto the graph of function g?

The graph shifts 8 units right and 7 units down.

The graph shifts 8 units left and 7 units up.

The graph shifts 7 units right and 8 units down.

The graph shifts 7 units left and 8 units up.

f (x) = (1 / (x-2)) + 1g (x) = (1 / (x + 5)) + 9

Transformation of functions:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

To graph y = f (x) - k, move the graph of k units down.

Suppose that h> 0

To graph y = f (x-h), move the graph of h units to the right.

To graph y = f (x + h), move the graph of h units to the left.

f (x) = (1 / (x-2)) + 1

To graph y = f (x) + k, move the graph of k units up.

h (x) = (1 / (x-2)) + 1 + 8

To graph y = f (x + h), move the graph of h units to the left.

g (x) = (1 / (x-2 + 7)) + 1 + 8

g (x) = (1 / (x + 5)) + 9

Answer:

The graph shifts 7 units left and 8 units up.