Notes
Slide Show
Outline
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Graphing Parabolas
  • Shannon ML Reohr
  • Cayuga Community College
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Graphing Parabolas of the form
y = ax2 + bx + c
  • Determine how it opens
  • Find the y – intercepts
  • Find the axis of symmetry
  • Find the vertex
  • Find the x-intercepts, if any
  • Graph the function


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How Does the Graph Open?
  • If  a is positive, it opens up
  • a > 0


  • If a is negative, it opens down
  • a < 0
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Y-intercept
  • Where it crosses the y - axis
  • Set x = 0
  • Solve for y
  • The point is (0,y)
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Axis of Symmetry
  • Can be used to find extra points
  • x = -b/2a





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Vertex-Turning Point
  • Take the x value from the axis of symmetry and substitute it into the function
  • Finds the y value
  • Vertex is (x,y)
  • Also known as the turning point
  • It is the minimum or maximum point of the parabola
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X-intercepts
  • Where it crosses the x-axis – sometimes there will not be any intercepts
  • Set y = 0
  • Solve for x
  • List the x-intercepts as points (x,0)
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Graph the parabola
  • Be sure to label any y-intercepts, the axis of symmetry, the vertex, and any x – intercepts.