If h(x) = 4x^2 - 16 were shifted 5 units to the right and 2 down, what would the new equation be?

We have the equation:
h ( x ) = 4 x² - 16
When shifted 5 units right:
h ( x ) = 4 ( x - 5 )² - 16
And shifted 2 units down:
h ( x ) = 4 ( x - 5 )² - 16 - 2 = 4 ( x - 5 )² - 18

The new equation is: h ( x ) = 4 ( x - 5 )² - 18.