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Questions on Sketching Parabolas

Before sketching the graph a parabola, it is useful to pick out the following characteristics given an equation in standard form:
  • the vertex of the parabola
  • the axis of symmetry
    • vertical if y = x2
    • horizontal if x = y2
  • the direction in which the parabola opens using the sign of a
    • Up or right if a is positive
    • Down or left if a is negative
After determining these characterisitics, it is useful to plot some points to determing how wide or narrow the parabola is.
Answer the following questions with a pencil and paper. Then check your graph by entering the h, k and a values into the action figure below.


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