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 of the point is \(0\) (by the definition of the y - axis, where \(x = 0\)).

Step2: Identify the intersection point

Looking at the given graph of the parabola, we find the point where the parabola crosses the y - axis. From the graph, we can see that when \(x = 0\), the \(y\) - coordinate of the point of intersection is \(-4\). So the coordinates of the y - intercept are \((0,-4)\).

Answer:

\((0, - 4)\)