8adv.MATH.7.A

Graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry.

Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
quadratic functionscoordinate planegraphkey attributesx-intercepty-interceptzerosmaximum valueminimum valuesvertexequationaxis of symmetry
Skills
  • graph (quadratic functions on the coordinate plane) #dok2
  • identify (key attributes of quadratic functions from a graph) #dok2
  • use (graphs to determine attributes such as x-intercept, y-intercept, zeros, maximum, minimum, vertex, axis of symmetry) #dok2
  • analyze (how attributes are represented on the graph of a quadratic function) #dok2
Learning Targets
  • I can graph quadratic functions on the coordinate plane. #dok2
  • I can identify the x-intercept, y-intercept, zeros, maximum or minimum, vertex, and equation of the axis of symmetry on the graph of a quadratic function. #dok2
  • I can use a graph of a quadratic function to describe and locate its key attributes. #dok2
Big Ideas
  • The graph of a quadratic function provides important information about its key features, which can be used to interpret and solve real-world problems.
  • Understanding how to identify and interpret the key attributes of quadratic functions on a graph is foundational for analyzing and modeling relationships in mathematics and the world.
Essential Questions
  • How can you identify key attributes such as the vertex, intercepts, and axis of symmetry on the graph of a quadratic function?
  • Why are the zeros and vertex of a quadratic function important in real-world situations?
  • What does the maximum or minimum value of a quadratic function represent on its graph?
  • How does the equation of the axis of symmetry help you understand the properties of a quadratic function?
  • In what ways can the graph of a quadratic function help you predict or solve problems?