Quadratic Functions: Characteristics & Factoring

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the function crosses the x-axis, and they can be found by setting the function equal to zero.

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it has a minimum point (vertex) and the y-values increase as you move away from the vertex.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it has a maximum point (vertex) and the y-values decrease as you move away from the vertex.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, and it passes through the vertex.

Front

What are the roots of a quadratic function?

Back

The roots (or x-intercepts) are the values of x for which the function equals zero.

Front

What is the quadratic formula?

Back

Front

What does the discriminant tell you about a quadratic equation?

Back

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola, depending on whether it opens upwards or downwards.

Front

How can you factor a quadratic function?

Back