Answer the question.
-Find $a , b$, and $c$ so that the graph of the equation $y = a x ^ { 2 } + b x + c$ passes through the points $( - 5 , - 115 ) , ( - 4 , - 73 )$, and $( - 2 , - 19 )$.
A) $y = - 5 x ^ { 2 } - 3 x + 5$
B) $y = - 5 x ^ { 2 } - 3 x - 5$
C) $y = 5 x ^ { 2 } - 3 x - 5$
D) $y = - 5 x ^ { 2 } + 3 x - 5$

Question

Quizplus · Accepted Answer

To find the correct values of $a$, $b$, and $c$, we can substitute the given points into the equation $y = ax^2 + bx + c$ and solve the resulting system of equations. For the point $(-5, -115)$, substituting $x = -5$ and $y = -115$ gives $-115 = 25a - 5b + c$. For the point $(-4, -73)$, substituting $x = -4$ and $y = -73$ gives $-73 = 16a - 4b + c$. For the point $(-2, -19)$, substituting $x = -2$ and $y = -19$ gives $-19 = 4a - 2b + c$. Solving this system of equations yields $a = -5$, $b = -3$, and $c = -5$, which corresponds to the equation $y = -5x^2 - 3x - 5$.

Answer the Question a,ba , ba,b , And ccc So That the Graph of the Equation

Answer the Question $a , b$ , And $c$ So That the Graph of the Equation