At What Value of T Does the Curve $x = 2 t - 3 t ^ { 2 } , y = t ^ { 2 } - 3 t$

question 7

Multiple Choice

At what value of t does the curve $x = 2 t - 3 t ^ { 2 } , y = t ^ { 2 } - 3 t$ have a vertical tangent?

• A) \(\frac { 1 } { 3 }\)
• B) \(\frac { 2 } { 3 }\)
• C) \(\frac { 3 } { 2 }\)
• D) \(\frac { 5 } { 6 }\)
• E) \(- \frac { 4 } { 3 }\)
• F) \(- \frac { 3 } { 2 }\)
• G) \(- \frac { 2 } { 3 }\)
• H) \(- \frac { 1 } { 3 }\)

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