If the graph of the function g defined by gx x2 3 is trans

If the graph of the function g defined by g(x) = -x^2 + 3 is translated vertically downward by 6 units, it becomes the graph of a function f Find the expression for f(x).

Solution

Formula:

We say y= f(x)+C moves the graph of f(x) down by \'C\' units when C<0.

So, here we get

f(x) = -x²+3 -6 = -x² - 3