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Identifying Characteristics of Quadratic Functions

Identifying Characteristics of Quadratic Functions 1.5 - Solution

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We are given part of the graph of a parabola and, thus, we can mark some points on the graph. We can also draw the axis of symmetry.

To reflect each point on the axis of symmetry, we first find the distance from it to each point.

Point Distance to the Axis of Symmetry

We can use these distances to find each reflection:

  1. Since the distance from to is then it is on the axis of symmetry. Therefore, its reflection is the same point —
  2. The reflection of has the same -coordinate, and its distance to is equal to It must be point
  3. The reflection of will also have the same -coordinate, and its distance to is equal to Thus, this point must be

We can plot each point and draw the missing part of the parabola.