The function h is defined as follows. h(x)=2x^2-4. If the graph of h translated vertically upward by 8 units, it becomes the graph of a function g. Find the expression for g(x).
The vertical shift in any polynomial is the constant value. In a linear formula y=mx+b the b is the vertical shift/translation and the y-intercept. In a quadratic like the example in this problem f(x)=ax2+bx+c the c is the vertical shift/translation. Adding a constant to a polynomial shifts translates the graph vertically. Up if the constant added is positive. Down if the constant added is negative.