Features of Quadratics (Tables & Graphs)

Front

What is a quadratic function?

Back

Front

What are the zeros of a quadratic function?

Back

The zeros of a quadratic function are the values of x for which the function equals zero (i.e., the x-intercepts of the graph). They can be found using factoring, completing the square, or the quadratic formula.

Front

How do you find the vertex of a quadratic function?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What does the 'a' value in a quadratic function indicate about the graph?

Back

The 'a' value determines the direction of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the standard form of a quadratic function?

Back

Front

What is the vertex form of a quadratic function?

Back

Front

How can you determine if a set of values represents a quadratic function?

Back

To determine if a set of values represents a quadratic function, check if the second differences of the y-values are constant.

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What is the significance of the discriminant in a quadratic equation?

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