Math Quadratic functions The standard parabola

The standard parabola

The standard parabola is the simplest quadratic function. It has the function equation $y=x^2$

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Properties

  • Graph symmetrical to the y-axis
  • Coordinate origin ($0|0$) is the vertex and the lowest point of the graph
  • Graph falls in the 2nd quadrant and rises in the 1st quadrant

Example

Draw the standard parabola.

  1. Create a value table

    The standard parabola has the function equation $f(x)=x^2$. For $x$ we now use values from -3 to 3.

    $f(-3)=(-3)^2=9$
    $f(-2.5)=(-2.5)^2=6.25$
    $f(-2)=(-2)^2=4$
    ...
    $f(3)=3^2=9$
  2. Enter values in a coordinate system