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

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 $( \infty , \infty )$