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 always 0. So we need to find the point on the parabola where \(x = 0\).

Step2: Locate the intersection with y - axis

Looking at the given graph of the parabola, we observe the point where the parabola crosses the y - axis. From the graph, when \(x = 0\), the value of \(y\) is 5. So the coordinates of the y - intercept are \((0,5)\).

Answer:

\((0, 5)\)