Find the vertex and focus of the parabola.
A)vertex: (0,0) focus: (0,-2)
B)vertex: (2,0) focus: (0,0)
C)vertex: (0,0) focus: (-2,0)
D)vertex: (0,0) focus: (0,2)
E)vertex: (-2,0) focus: (0,0)

Question

Find the vertex and focus of the parabola.  ​
A)vertex: (0,0) focus: (0,-2) 
B)vertex: (2,0) focus: (0,0) 
C)vertex: (0,0) focus: (-2,0) 
D)vertex: (0,0) focus: (0,2) 
E)vertex: (-2,0) focus: (0,0)

Quizplus · Accepted Answer

By looking at the given graph, we can see that the parabola opens downwards, which means that its vertex is at the highest point of the curve. The vertex of the parabola is (0,0), which is confirmed by the fact that the curve is symmetric about the y-axis. Also, since the focus is two units below the vertex, the focus must be at (0, -2). Thus, the correct choice is A.

Find the Vertex and Focus of the Parabola