Write the coordinates of the vertex and determine if the vertex is a maximum point or a minimum point. $$f ( x ) = ( x + 12 ) ^ { 2 } - 8$$
A) (-12, -8); maximum
B) (-8, 12); maximum
C) (12, -8); minimum
D) (-12, -8); minimum

Question

Quizplus · Accepted Answer

The vertex form of a quadratic function is $f(x) = a(x - h)^2 + k$, where $(h, k)$ is the vertex. In this case, $f(x) = (x + 12)^2 - 8$ matches the form with $h = -12$ and $k = -8$, making the vertex $(-12, -8)$. Since the coefficient of $(x + 12)^2$ is positive, the parabola opens upwards, indicating that the vertex is a minimum point.

Write the Coordinates of the Vertex and Determine If the Vertex