Answer:
g(x) = -2x² - 1
Explanation:
If we have a function g(x) = f(x) - c, we can say that g(x) is f(x) translated c units down.
So, if g(x) is f(x) translated 4 units down, we get
g(x) = f(x) - 4
Now, we can replace f(x) = -2x² + 3 on the equation to get
g(x) = -2x² + 3 - 4
g(x) = -2x² - 1
Therefore, the expression for g(x) is
g(x) = -2x² - 1
