Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

using the graph, determine the coordinates of the y-intercept of the pa…

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. By definition, on the y - axis, the x - coordinate is 0. So we need to find the point on the parabola where \(x = 0\).

Step2: Analyze the graph

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

Answer:

The coordinates of the y - intercept of the parabola are \((0, - 4)\) (and the answer type is "One point" as the y - intercept is a single point on the graph).