Using the graph, determine the coordinates of the y-intercept of the parabola.
Understand the Problem
The question is asking to find the coordinates of the y-intercept of a given parabola based on its graph.
Answer
The coordinates of the y-intercept are $(0, -2)$.
Answer for screen readers
The coordinates of the y-intercept of the parabola are $(0, -2)$.
Steps to Solve
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Identify the y-intercept point To find the y-intercept of a parabola, look for the point where the graph crosses the y-axis. This occurs when the x-coordinate is zero.
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Read the y-coordinate from the graph From the graph, trace vertically upwards or downwards from the point where the parabola intersects the y-axis to determine the corresponding y-coordinate.
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Write the coordinates Once you have both the x-coordinate (0) and the y-coordinate obtained from the graph, write them as a coordinate point in the form $(x, y)$.
The coordinates of the y-intercept of the parabola are $(0, -2)$.
More Information
The y-intercept is a key feature of the parabola, indicating where it crosses the y-axis. Understanding how to locate intercepts is fundamental in analyzing graph behaviors.
Tips
- Misreading the y-coordinate: Sometimes, it's easy to misread the graph, especially if the points are not clearly labeled. Double-checking against the grid can help avoid this error.
- Forgetting the x-coordinate: Remember that for y-intercepts, the x-coordinate is always 0.
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