Explain how they got the answer. calculus i

See explanation.

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/CoefficientsExpanding

Step-by-step explanation:

Step 1: Define

Identify

f(x - 3) = -(x - 3)² + 6(x - 3) - 11

Step 2: Simplify

Expand:                                                                                                             f(x - 3) = -(x² - 6x + 9) + 6(x - 3) - 11[Distributive Property] Distribute 6:                                                                 f(x - 3) = -(x² - 6x + 9) + 6x - 18 - 11[Distributive Property] Distribute negative:                                                    f(x - 3) = -x² + 6x - 9 + 6x - 18 - 11Combine like terms:                                                                                         f(x - 3) = -x² + 12x - 38

“exterior angles of triangles. an exterior (or external) angle is the angle between one side of a triangle and the extension of an adjacent side. try this drag the orange dots on any vertex to reshape the triangle.” look to get to the answer i explained what it means and other things i hope it you .