Give Two Parametric Representations for the Equation of the Parabola $$y = x ^ { 2 } - 8 x + 25$$

Multiple Choice

Give two parametric representations for the equation of the parabola.
- $$y = x ^ { 2 } - 8 x + 25$$

A) $x = t , y = t ^ { 2 } + 8 t + 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } + 9$ for $t$ in $( - \infty , \infty )$
B) $x = t , y = t ^ { 2 } - 8 t - 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } - 9$ for $t$ in $( - \infty , \infty )$
C) $x = t , y = t ^ { 2 } + 8 t + 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } - 9$ for $t$ in $( - \infty , \infty )$
D) $x = t , y = t ^ { 2 } - 8 t + 25$ for $t$ in $( - \infty , \infty ) ; x = t - 4 , y = t ^ { 2 } + 9$ for $t$ in $( - \infty , \infty )$