1. Which Function t the result of translating

F (x) = x² + x + 14 right 5 units and down 6 Units.

A. y = x² - 4x+8

B. y = x² + 6x+28

c. y = x² - 9x+28

D. y = x x² - 9x+8.

F (x) = x²+x+14

Subtracting 5 from each x will shift F (x) 5 units to the right:

F (x-5) = (x-5) ² + (x-5) + 14

= x²-10x+25+x-5+14

= x²-9x+34

Subtracting 6 from F (x) will shift it 6 units down:

F (x-5) - 6 = x²-9x+34-6

= x²-9x+28

Choice C