The most basic quadratic function b=0,c=0 Minimum, happy face function, its vertex is (0,0) The axis of symmetry of this function is X=0. The function's interval of increase: X>0 The function's interval of decrease: X<0 Set of positivity: Every X except 0. Set of negativity: None. The entire parabola is above the axisX.
The most basic quadratic function a=−1,b=0,c=0 Maximum, sad face function, its vertex is (0,0) The axis of symmetry of this function is X=0. The interval of increase of the function: X<0 The interval of decrease of the function: X>0 Set of positivity: None. The entire parabola is below the axisX. Set of negativity: All X except for X=0
y=ax2
Properties of the function: The quadratic function anynumber=a,b=0,c=0
Its vertex is (0,0) The axis of symmetry of this function is X=0.
As a increases, the parabola will have a smaller opening - closer to its axis of symmetry. As a decreases, the parabola will have a larger opening - further from its axis of symmetry.
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