g\left(x\right)=4x^{2}-16

Question

if g\left(x\right)=4x^{2}-16 were shifted 9 units to the right and 1 down what would the new equation be?

Answer 1

g(x) = 4x^2 -16

shifted right by 9 and down 1

gives

h(x) = 4(x-9)^2 -17

subtract 9 from x: x-9

subtract 1 from -16: -17