Chapter 4 Test: Quadratic

Front

What is the process to complete the square for a quadratic equation?

Back

To complete the square, take the coefficient of the linear term (b), divide it by 2, and square the result.

Front

What is the standard form of a quadratic function?

Back

Front

What does the vertex of a parabola represent?

Back

The vertex is the highest or lowest point of the parabola, depending on the direction it opens.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the quadratic equation to zero and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

Front

What is the discriminant in a quadratic equation?

Back

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that the quadratic equation has no real roots (two complex roots).

Front

What does a zero discriminant indicate?

Back

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

Front

How do you determine the direction of a parabola?

Back

The direction of a parabola is determined by the sign of the coefficient 'a' in the standard form: if a > 0, it opens upwards; if a < 0, it opens downwards.