Give Two Parametric Representations for the Equation of the Parabola $$y = ( x - 2 ) ^ { 2 } - 1$$

question 266

Multiple Choice

Give two parametric representations for the equation of the parabola.
- $$y = ( x - 2 ) ^ { 2 } - 1$$

• A) \(x = t , y = ( t + 2 ) ^ { 2 } - 1\) for \(t\) in \(( \infty , \infty ) ; x = t + 2 , y = t ^ { 2 } - 1\) for \(t\) in \(( \infty , \infty )\)
• B) \(x = t , y = ( t - 2 ) ^ { 2 } - 1\) for \(t\) in \(( \infty , \infty ) ; x = t + 2 , y = t ^ { 2 } - 1\) for \(t\) in \(( \infty , \infty )\)
• C) \(x = t , y = ( t - 2 ) ^ { 2 } - 1\) for \(t\) in \(( \infty , \infty ) ; x = t - 2 , y = t ^ { 2 } - 1\) for \(t\) in \(( \infty , \infty )\)
• D) \(x = t , y = ( t + 2 ) ^ { 2 } - 1\) for \(t\) in \(( \infty , \infty )\); \(x = t - 2 , y = t ^ { 2 } - 1\) for \(t\) in \(( \infty , \infty )\)

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