If g(x) = 4x2 - 16 were shifted 5 units to the right and 2 down, what would the
new equation be?

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

the first domain and range set to the left is matched with the top relation, and the second set the set in the middle goes with the bottom relation.

54 it just is

step-by-step explanation: