Find the coordinates of the vertex, and indicate whether the vertex is the highest point on the graph or the lowest point on the graph.

Question

Quizplus · Accepted Answer

The vertex form of a quadratic equation is y = a(x - h)^2 + k, where (h, k) are the coordinates of the vertex. In the given equation, the coefficient of x^2 is positive, which means the parabola opens upwards and the vertex is the lowest point on the graph. Comparing the given equation with the vertex form, we have h = 4 and k = -21. Therefore, the vertex is (4, -21) and it is the lowest point on the graph.

Find the Coordinates of the Vertex, and Indicate Whether the Vertex