Answer:
y = 4x² - 16x + 15
Explanation:
The standard form of a parabola is y = ax² + bx + c
To convert y = 4(x- 2)² -1
- expand (x - 2)²:
x² - 4x + 4 using the identity (x - a)² = x² -2ax + a² - Multiply 4(x - 2)²
4(x² - 4x + 4) = 4x² - 16x + 16 - Finally,
y = 4(x- 2)² -1 = 4x² - 16x + 16 - 1
y = 4x² - 16x + 15