Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points (-2,4),(0,-4) , and (3,2) .
A) $y = - \frac { 8 } { 5 } x ^ { 2 } + \frac { 6 } { 5 } x - 4$
B) $y = \frac { 6 } { 5 } x ^ { 2 } - \frac { 8 } { 5 } x - 4$
C) $y = \frac { 8 } { 15 } x ^ { 2 } - \frac { 16 } { 5 } x - \frac { 4 } { 3 }$
D) $y = - \frac { 2 } { 15 } x ^ { 2 } + \frac { 4 } { 5 } x - 7$

Question

Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points  (-2,4),(0,-4) , and  (3,2) .
A) $y = - \frac { 8 } { 5 } x ^ { 2 } + \frac { 6 } { 5 } x - 4$
B) $y = \frac { 6 } { 5 } x ^ { 2 } - \frac { 8 } { 5 } x - 4$
C) $y = \frac { 8 } { 15 } x ^ { 2 } - \frac { 16 } { 5 } x - \frac { 4 } { 3 }$
D) $y = - \frac { 2 } { 15 } x ^ { 2 } + \frac { 4 } { 5 } x - 7$

Quizplus · Accepted Answer

The Answer of Find the equation of the parabola $y = a x ^ { 2 } + b x + c$ that passes through the points  (-2,4),(0,-4) , and  (3,2) .
A) $y = - \frac { 8 } { 5 } x ^ { 2 } + \frac { 6 } { 5 } x - 4$
B) $y = \frac { 6 } { 5 } x ^ { 2 } - \frac { 8 } { 5 } x - 4$
C) $y = \frac { 8 } { 15 } x ^ { 2 } - \frac { 16 } { 5 } x - \frac { 4 } { 3 }$
D) $y = - \frac { 2 } { 15 } x ^ { 2 } + \frac { 4 } { 5 } x - 7$

Find the Equation of the Parabola y=ax2+bx+cy = a x ^ { 2 } + b x + cy=ax2+bx+c

Find the Equation of the Parabola $y = a x ^ { 2 } + b x + c$