Determine All Values of , (If Any), at Which the Graph

question 186

Multiple Choice

Determine all values of , (if any) , at which the graph of the function has a horizontal tangent.
$y ( x ) = x ^ { 3 } + 12 x ^ { 2 } + 8$

• A) \(x = 0\)
• B) \(x = - 8\)
• C) \(x = 0\) and \(x = - 8\)
• D) \(x = 0\) and \(x = 8\)
• E) The graph has no horizontal tangents.