Provide an appropriate response.
-A quadratic equation f(x) = 0 has a solution x = 3. Its graph has vertex (-1, -16). What is the other solution of the equation?
A) 7
B) $- 3$
C) $- 5$
D) $- 4$

Question

Provide an appropriate response.
-A quadratic equation f(x) = 0 has a solution x = 3. Its graph has vertex (-1, -16). What is the other solution of the equation? 
A) 7
B) $- 3$
C) $- 5$
D) $- 4$

Quizplus · Accepted Answer

The vertex form of a quadratic equation is $ f(x) = a(x - h)^2 + k $, where (h, k) is the vertex. The axis of symmetry is x = h. Since the vertex is (-1, -16), the axis of symmetry is x = -1. The solutions (roots) are equidistant from the axis of symmetry. Given one solution is x = 3, the distance from the axis of symmetry is 3 - (-1) = 4. Therefore, the other solution is -1 - 4 = -5.

Provide an Appropriate Response −3- 3−3 C) −5- 5−5 D) −4- 4−4

Provide an Appropriate Response $- 3$ C) $- 5$ D) $- 4$