If the graph of the function f defined by fx 2x2 1 is tran

If the graph of the function f defined by f(x) = 2x^2 + 1 is translated vertically downward by 3 units, it becomes the graph of a function g. Find the expression for g(x). Note that the ALEKS graphing calculator may be helpful in checking your answer. g(x) =

Solution

given f(x) is translated vertically doenwards by 3 units

g(x)=f(x) -3

g(x)=(2x²+1)-3

g(x)=2x²-2