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Identifying Characteristics of Quadratic Functions

Identifying Characteristics of Quadratic Functions 1.2 - Solution

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The general form of a quadratic function is Investigate if the functions are in this form.

Function

The function has two terms. Thus, they can be added. The function does not have an -term or constant but it simply means that these terms are zero, so Therefore, is a quadratic function.

Function

The function contains an -term, but also the term Hence, it does not fit the form and is not a quadratic function.

Function

We see directly that the function is not a quadratic function because it contains a variable that is raised to

Function

The function expression contains a fraction. But, if it can be written in the form , it is still a quadratic function. Investigate whether it is possible to rewrite it.
The function is then a quadratic function.