Question

using the graph, determine the coordinates of the y-intercept of the parabola.

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a graph is the point where the graph intersects the y - axis. At the y - axis, the x - coordinate is 0. So we need to find the point on the parabola where \(x = 0\).

Step2: Locate the point on the graph

Looking at the given graph of the parabola, we find the point where it crosses the y - axis. When \(x = 0\), we look at the y - coordinate of that intersection point. From the graph, we can see that the parabola intersects the y - axis at the point \((0,-5)\).

Answer:

\((0, - 5)\)