Answer:
y = 2x² + 16x + 11
Explanation:
the standard form of a quadratic function is
y = ax² + bx + c ( a ≠ 0 )
given
y = 2(x + 4)² - 21 ← expand (x + 4)² using FOIL
= 2(x² + 8x + 16) - 21 ← distribute parenthesis by 2
= 2x² + 16x + 32 - 21 ← collect like terms
= 2x² + 16x + 11 ← in standard form