(a)
The parent function is .
Because the graph of the function is :
Let be the function of given graph.
Observe the two graphs f and g, the graph of g is a reflection in the x - axis followed by an upward shift of one unit of the graph of .
Thus, the equation of the graph is .
(b)
The parent function is .
Because the graph of the function is :
Let be the function of given graph.
Observe the graphs f and g :
The graph of g is horizontal shift of one unit to the right followed by an upward shift of one unit of the graph .
Thus, the equation of the graph is .
(c)
The parent function is .
Because the graph of the function is :
Let be the function of given graph.
Observe the two graphs f and g :
The graph of g is a horizontal shift of three units to the left followed by a reflection in the x - axis followed by a downward shift of one unit of the graph .
Thus, the equation of the graph is .
(d)
The parent function is .
Because the graph of the function is :
Let be the function of given graph.
Observe the two graphs of f and g :
The graph of g is a horizontal shift of ten units to the right followed by a downward shift of four units of the graph .
Thus, the equation of the graph is .
(a) .
(b) .
(c) .
(d) .
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