Give Two Parametric Representations for the Equation of the Parabola $$y = x ^ { 2 } + 6 x + 15$$

Multiple Choice

Give two parametric representations for the equation of the parabola.
- $$y = x ^ { 2 } + 6 x + 15$$

A) $x = t , y = t ^ { 2 } + 6 t + 15$ for $t$ in $( \infty , \infty ) ; x = t - 3 , y = t ^ { 2 } + 6$ for $t$ in $( \infty , \infty )$
B) $x = t , y = t ^ { 2 } - 6 t - 15$ for $t$ in $( \infty , \infty ) ; x = t + 3 , y = t ^ { 2 } + 6$ for $t$ in $( \infty , \infty )$
C) $x = t , y = t ^ { 2 } + 6 t + 15$ for $t$ in $( \infty , \infty ) ; x = t + 3 , y = t ^ { 2 } + 6$ for $t$ in $( \infty , \infty )$
D) $x = t , y = t ^ { 2 } + 6 t + 15$ for $t$ in $( \infty , \infty ) ; x = t - 3 , y = t ^ { 2 } - 6$ for $t$ in $( \infty , \infty )$