Algebra 1 - The Discriminant

Front

What is the formula for the discriminant in a quadratic equation?

Back

Front

What does the discriminant indicate about a quadratic equation?

Back

The discriminant indicates the number and type of solutions (roots) of the quadratic equation.

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Back

Front

Back

The discriminant is zero, indicating that there is one real root (a repeated root).

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Back

The discriminant is -3, indicating there are 0 real roots (the roots are complex).

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What does a positive discriminant signify?

Back

A positive discriminant signifies that there are two distinct real roots for the quadratic equation.

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What does a negative discriminant signify?

Back

A negative discriminant signifies that there are no real roots, only complex roots.

Front

What does a zero discriminant signify?

Back

A zero discriminant signifies that there is exactly one real root (a repeated root) for the quadratic equation.

Front

How do you find the discriminant from the standard form of a quadratic equation?

Back

Front

If the discriminant is 0, what can be said about the graph of the quadratic function?

Back

The graph of the quadratic function touches the x-axis at one point (the vertex) and does not cross it.