Re-write the quadratic function below in Standard Form
y = -(x – 3)2 +8

y = -x² + 6x - 1

General Formulas and Concepts:

Algebra I

Standard Form: ax² + bx + c = 0Expanding by FOIL (First Inside Outside Last)Combining like terms

Step-by-step explanation:

Step 1: Define equation

y = -(x - 3)² + 8

Step 2: Rewrite

Expand [FOIL]:                    y = -(x² - 6x + 9) + 8Distribute -1:                        y = -x² + 6x - 9 + 8Combine like terms:           y = -x² + 6x - 1

I imagine that the swinging you are describing is a swing going back and forth on a swing set.

This is the same pattern in the graphs of sine and cosine. They go back and forth between output values of -1 and 1.