What are two different types of graphs of a quadratic function?

A quadratic function is a polynomial function of degree 2 which can be written in the general form,

f(x)=ax2+bx+c

The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

  • The sign of the coefficient of the quadratic function affects whether the graph opens up or down. If a<0, the graph opens downwards and if b, then the graph opens upwards.
  • Each parabola is symmetric about a vertical line called the axis of symmetry. This vertical line goes through the vertex.
  • All quadratic functions of the form f(x)= ax2+bx+ c have parabolic graphs with y -intercept (0,c). However, not all parabolas have x -intercepts.

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