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

4(x-9)² - 17

Step-by-step explanation:

if moving left or right, the a value for (x-a) + b changes, and if it move up or down, the b value for (x-a) + b changes

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.