f(x)=-4x^2-4 if the graph of f is translated vertically downward by 3 units, it becomes the graph of a function h. Find the expression for h(x)

Answer 1

To translate a function up or down (in the y-direction), we simply add or subtract numbers to the back of the function. So to move f(x) = -4x² - 4 down 3 units I add "-3" to the back making it -4x² - 4 - 3 so that makes h(x) = -4x² - 7