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Identifying Characteristics of Quadratic Functions

Identifying Characteristics of Quadratic Functions 1.22 - Solution

arrow_back Return to Identifying Characteristics of Quadratic Functions

Let us start by listing the characteristics of the quadratic function in the graph.

  • The curve has an absolute minimum.
  • The curve intersects the positive part of the -axis.

With this information, we can exclude some functions.

Minimum point

The second degree curve has an absolute minimum which means that the coefficient in front of -term must be positive. Therefore, we can exclude B.

The point of intersection with the -axis

Because the curve cuts the positive part of the -axis the constant term also has to be positive, which means that you can exclude the function C which has the constant

Conclusion

The only function left is function A.