Question

the graph shows a parabola along with its vertex, focus, and directrix. determine the coordinates of the vertex and focus, and the equation of the directrix. the coordinates of the vertex are . (simplify your answer. type an ordered pair.)

Explanation:

Step1: Recall the definition of the vertex of a parabola

The vertex of a parabola is the mid - point between the focus and the directrix. It is also the point where the parabola changes direction.

Step2: Locate the vertex from the graph

By observing the graph, we can see that the vertex is at the point \((-1,1)\)

Answer:

\((-1,1)\)