f(x+5)-4
shifts the parent function f(x) left 5 and down 4
The given function is f(x+5)-4. Let’s break it down to understand it better.
f(x) is a function where we substitute the value of x and get some result. But in this case, instead of x, we have x+5. This means, we take the input for the function as x+5 instead of x.
So, f(x+5) means we plug in x+5 in place of x in the original function f(x).
Now, we have f(x+5) – 4. This means we take the output of the function f(x+5) and subtract 4 from it.
For example, if f(x) = 2x + 3, then f(x+5) = 2(x+5) + 3 = 2x + 13. And f(x+5) – 4 = (2x + 13) – 4 = 2x + 9.
In general, whenever we have an expression of the form f(x+a) + b, we plug in x+a in place of x in the original function f(x), and then add b to the output.
Hope this clarifies the concept!
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