f(x+3)
shifts the parent function f(x) left 3 units
The expression f(x+3) represents a function f that depends on the quantity (x+3) as its input variable. This means that instead of simply plugging in the value of x into the function f, we must first add 3 to the value of x before plugging it into f.
For example, if f(x)=x^2, then f(x+3)=(x+3)^2. To evaluate f(x+3) for a specific value of x, we would substitute the value of (x+3) for x in the expression of f(x). For instance, if x=5, then f(x+3)=f(5+3)=f(8)=(8+3)^2=121.
In conclusion, the expression f(x+3) represents a function that takes an input value x, adds 3 to it, and then applies the function f to that sum.
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