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Question

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


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Solution

Quadratic function and different types of graphs of a quadratic function.

The general form Quadratic function f(x)=ax2+bx+c, where a0

The graph of the quadratic Equation is parabolic.

The extreme point (maximum/minimum) of the parabola is called the vertex. The axis of symmetry that passes through the vertex is a parabola which is symmetric about vertical lines.

A Parabola can be oriented in two ways which would be the required type of graph :

  1. Downward Opened graph
  • If a<0, the graph opened downward.
  • The downward graph is shown below:

2. Upward opened graph

  • Ifa>0, the graph opened upward.
  • The upward graph is shown below:

Thus, there are two different types of graphs upward and downward.


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