Answer: y = -(x + 2)²
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(bx - h)² + k where
- a: vertical stretch (if negative it is a reflection across x-axis)
- b: horizontal stretch (if negative it is a reflection across y-axis)
- h: horizontal shift (negative is left and positive is right)
- k: vertical shift (negative is down and positive is up)
- (h, k): vertex of the function
Given: reflection over x-axis → a = -1, two units left → c = -2
Input those values into the equation: y = -(x - (-2))²
simplify: y = -(x + 2)²
