please can i get help with only question please

Question

Question 1: For f(x) = 3x² + 2x − 1, identify the rule for g(x) = f(x + 1) − 6 and its graph.

A.)

g(x) = (3x + 1)² + 2x + 1

B.)

g(x) = 3(x + 1)² + 2x + 1

C.)

g(x) = 3(x + 1)² + 2(x + 1) − 7

D.)

g(x) = 3(x + 1)² + 2(x + 1) − 7

Please just give and only give the explanation and the solution.

Answer 1

g(x) = f(x + 1) − 6

The translations for this equation are 1 unit to the left and 6 units down. B and D are both not correct, because they are showing reflections on the x axis. A only shows a shift down, but that is not 6 units.

C is the correct answer