Solving Quadratic Equations

Front

What is a quadratic equation?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

What does the 'a' coefficient in a quadratic equation represent?

Back

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

Front

How can you find the roots of a quadratic equation?

Back

Front

What is the quadratic formula?

Back

Front

What does the discriminant of a quadratic equation tell us?

Back

Front

How do you determine the vertex of a parabola represented by a quadratic equation?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

How do you solve a quadratic equation by factoring?

Back

Front

What is the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value occurs at the vertex of the parabola, which can be found using the vertex formula. If 'a' is positive, it is a minimum; if negative, it is a maximum.