Question

g(x)=4x^2-4
is translated vertically downward by 5 units, it becomes the graph of a function F
Find the expression for f(x)

Answer 1

since g(x) "is translated vertically downward by 5 units", this means we're subtracting 5 from g(x) to get g(x)-5


But g(x) = 4x^2-4


So g(x)-5 = (4x^2-4)-5 = 4x^2-9


This means that g(x)-5 = 4x^2-9


and f(x) = 4x^2-9