ALG1.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.

Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
quadratic functionscoordinate planegraphkey attributesx-intercepty-interceptzerosmaximum valueminimum valuesvertexequation of the axis of symmetry
Skills
  • graph (quadratic functions on the coordinate plane) #dok2
  • identify (key attributes of quadratic functions from graphs) #dok2
  • use (graph to identify intercepts, zeros, vertex, max/min, axis of symmetry) #dok2
Learning Targets
  • I can graph quadratic functions on the coordinate plane. #dok2
  • I can identify the x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and axis of symmetry of a quadratic function from its graph. #dok2
  • I can use a graph to find the key features of a quadratic function. #dok2
Big Ideas
  • The graph of a quadratic function reveals important features, such as intercepts, maximum or minimum points, and symmetry.
  • Understanding the connection between a quadratic function’s equation and its graph helps interpret and solve real-world problems.
Essential Questions
  • How can you graph a quadratic function on the coordinate plane?
  • What are the key attributes of a quadratic function’s graph and how can you identify them?
  • How does the vertex relate to the maximum or minimum value of a quadratic function?
  • What is the axis of symmetry of a quadratic function, and how can it be found using the graph?
  • How can analyzing the graph of a quadratic function help in solving real-world problems?