If g(x) = 4x² - 16 were shifted 9 units to the right and 1 down,
what would the new equation be?

[tex]9 \: units \: to \: the \: right \: = x - 9[/tex]
[tex]1 \: unit \: down \: = - 1[/tex]
[tex]g(x) = 4x {}^{2} - 16 \\ h(x) = 4(x - 9) {}^{2} - 17[/tex]