The equation of a function whose parent function, f(x) = x + 6 is g(x) = x + 2.
What is function?
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.
Here, the given function;
f(x) = x + 6
If parent function f(x) is shifted a units to the right to get the function g(x), then
g(x) = f(x-a)
where, a = 4
g(x) = f(x-4)
g(x) = (x-4) + 6
g(x) = x - 4 + 6
g(x) = x + 2
Thus, the equation of a function whose parent function, f(x) = x + 6 is g(x) = x + 2.
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