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.
A) vertex = (25, -17); it is the highest point.
B) vertex = (4, -21); it is the lowest point.
C) vertex = (-4, -21); it is the lowest point.
D) vertex = (17, 42); it is the highest point.
E) vertex = (-8, 17); it is the lowest point.

Question

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. 
A) vertex = (25, -17); it is the highest point. 
B) vertex = (4, -21); it is the lowest point. 
C) vertex = (-4, -21); it is the lowest point. 
D) vertex = (17, 42); it is the highest point. 
E) vertex = (-8, 17); it is the lowest point.

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