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Discussion Based Assessment

Before your final exam is unlocked, you are required to participate in a discussion-based
ssessment with your teacher. Prepare to answer the following questions by reviewing the units
or your course and your notes. Refer to the rubric for the grading criteria. Information pulled
irectly from the Internet will not be accepted.

The graph of a quadratic relationship is in the shape of a parabola. Parabolas are
symmetric arcs and are useful for modeling relationships such as the height of a projectile
over time or the curve of the cables on a suspension bridge. Think about where you have
seen a parabolic arc in real life. What unique features did it have, and where did you see
symmetry in the relationship?

1 Answer

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Final answer:

A parabola, the graph of a quadratic equation, displays symmetry and appears in real-life objects like a bouncing ball or a suspension bridge's cables.

Step-by-step explanation:

The graph of a quadratic equation is a parabola, which is a symmetrical open curve where each point is at an equal distance from a fixed point known as the focus and a fixed straight line known as the directrix. This symmetry is a unique feature that can be seen in real life, such as in the path of a bouncing ball or the cables of a suspension bridge. In each of these examples, the parabolic shape is evident and the symmetry of the structure or motion reflects the underlying quadratic relationship.

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