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Describe a sporting situation that has quadratic characteristics. Use key terms such as maximum or minimum, starting or ending points(ordered pairs), shape, vertex, etc. to explain why the situation could be considered to have quadratic characteristics. A complete response must have a minimum of 3 sentences and must address all of the above key terms.

Someone on here told me that archery could be an example but could someone please explain how it has quadratic characteristics? Thanks so much

A quadratic equation's shape is a parabola. So anything with a curved trajectory would fit: throwing a ball / javelin / football / anything, shooting an arrow...

Here's a fun picture:
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In archery, the trajectory of an arrow can be described using a quadratic equation. The shape of the trajectory is a parabola, which is a characteristic of quadratic functions. The vertex of the parabola represents the maximum point or the peak of the trajectory, which is the point where the arrow reaches its highest point before descending. The starting point or the initial position of the arrow can be represented as an ordered pair (0, 0), indicating that the arrow is launched from the origin. The ending point or the target can be represented by another ordered pair (x, y), where x and y are the coordinates of the target. Therefore, archery can be considered to have quadratic characteristics due to the parabolic shape of the arrow's trajectory, the vertex representing the maximum point, and the presence of starting and ending points represented as ordered pairs.

Certainly! Archery is a great example of a sporting situation with quadratic characteristics. When an archer shoots an arrow, it follows a parabolic trajectory. The shape of a parabola is defined by a quadratic equation, which involves a squared term. The starting point of the arrow, where it is released from the bow, can be considered the vertex of the parabola. The maximum height the arrow reaches is the maximum point of the parabola, and the ending point where the arrow lands is also a key feature. By analyzing the trajectory of the arrow, we can determine the ordered pairs that represent the starting, maximum, and ending points, and use these points to find the equation of the parabola.