Vertical shift down 5
Compare f(x)=x²-5 to the parent function. What happens?
A vertical shift down 5 means that the entire graph or function is moved 5 units downwards on the y-axis. This means that for any given value of x, the corresponding y value will be 5 units less than where it was previously.
For example, if we have the function f(x)= x^2 and we apply a vertical shift down 5, we get the new function g(x) = x^2 – 5.
This means that every point on the graph of g(x) will be 5 units below the corresponding point on the graph of f(x). To visually represent this shift, we can draw both graphs on the same coordinate plane and observe that the graph of g(x) is simply a shifted version of f(x) downwards by 5 units.
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