The graph of g will differ from the graph of f as the graph of g is the graph of f shifted 2 units to the right. Option C
This is further explained below.
<h3>What is a function?</h3>
A relation between a collection of inputs and one output for each of those inputs is the definition of a function.
A function is a connection between inputs in which each input is associated with precisely one output.
To put it another way, a function is a relationship between inputs. Each function has both a domain and a codomain or range that it operates inside.
Generally, The progression towards
g(x) = f(x -h) +k
depicts a translation with k units added on top and h units added to the right.
Since you have h equal to 0 and k equal to -2, this means that the graph is moved 0 units to the right and 2 units in the opposite direction of up.
The graph of g may be found by shifting f's graph down by two units.
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