Question

The function g is defined as follows. g(x)=-5x^(2)-1 If the graph of g is translated vertically downward by 4 units, it becomes the graph of Find the expression for f(x) Note that the ALEKS graphing calculator may be helpful in checking your answer. f(x)

Answer 1

To find the expression for f(x) after translating the graph of g(x) downward by 4 units, subtract 4 from the original function: f(x) = g(x) - 4. Substitute the original function into this expression to get the final expression for f(x).

Step-by-step explanation:

To find the expression for the function f(x) after translating the graph of g(x) downward by 4 units, we need to subtract 4 from the original function.

So, f(x) = g(x) - 4

Substituting g(x) = -5x^2 - 1 into the expression for f(x), we get f(x) = -5x^2 - 1 - 4 = -5x^2 - 5

Learn more about Function Translation