Unit 4 Test

Front

What does the discriminant of a quadratic equation indicate?

Back

The discriminant indicates the number and type of the roots of a quadratic equation.

Front

How do you solve the quadratic equation x^2 + 4x + 4 = 49?

Back

The solutions are x = 5 and x = -9.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

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

Back

The x-intercepts are found by setting the quadratic equation equal to zero and solving for x.

Front

What is completing the square in relation to quadratic equations?

Back

Completing the square is a method used to solve quadratic equations by rewriting them in the form (x - p)² = q.

Front

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

Back

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

Front

What does it mean if the discriminant is positive?

Back

If the discriminant is positive, the quadratic equation has two distinct real roots.

Front

What does it mean if the discriminant is zero?

Back

If the discriminant is zero, the quadratic equation has exactly one real root (a repeated root).

Front

What does it mean if the discriminant is negative?

Back

If the discriminant is negative, the quadratic equation has two complex roots.

Front

How do you apply the quadratic formula to the equation -x^2 + 2x = 1?

Back

Rearrange to x^2 - 2x + 1 = 0, then apply the quadratic formula to find x = 1.