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. By observing the graph, we can directly read the coordinates of the vertex.

Step2: Locate the vertex on the coordinate grid

Looking at the graph, the vertex is at the point \((1,3)\)

Answer:

\((1,3)\)