Answer:
see explanation
Step-by-step explanation:
a translation of 3 squares right means add 3 to the x- coordinate
a translation of 3 squares up means add 3 to the y- coordinate
then
(1, 1 ) → (1 + 3, 1 + 3 ) → (4, 4 )
(3, 1 ) → (3 + 3, 1 + 3 ) → (6, 4 )
(1, 4 ) → (1 + 3, 4 + 3 ) → (4, 7 )
x^4 - 81 = 0
(x² - 9)(x² + 9) = 0
Notice that the first of these is itself a difference of two squares:
(x - 3)(x + 3)(x² + 9) = 0
So the solutions are x = 3, x = -3, x = 3i, x = -3i
