Answer:
Yes it has
Step-by-step explanation:
From my perspective.........
f(x) = -4(x + 3)² - 5
f(x) = -4(x + 3)(x + 3) - 5
f(x) = -4(x² + 6x + 9) - 5
f(x) = -4x² - 24x - 36 - 5
f(x) = -4x² - 24x - 41
Dy/dx = -8x - 24
At minimum Dy/dx = 0
-8x - 24 = 0
-8x = 24
x = 24/-8
x = -3
At minimum
y = -4x² - 24x - 41
y = -4(-3)² - 24(-3) - 41
y = -4(9) + 72 - 41
y = -36 + 72 - 41
y = 36 - 41
y = -5
