Quadratics Review

Front

What are the roots of a quadratic equation?

Back

The roots (or x-intercepts or zeros) are the values of x where the quadratic equation equals zero.

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, passing through the vertex.

Front

How do you find the axis of symmetry for the quadratic equation y = a(x - h)² + k?

Back

The axis of symmetry is given by the line x = h.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in a quadratic equation determine?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

What is the factored form of a quadratic equation?

Back

The factored form is expressed as y = a(x - r₁)(x - r₂), where r₁ and r₂ are the roots.

Front

How do you find the GCF of a polynomial?

Back

The GCF (Greatest Common Factor) is the largest factor that divides all terms of the polynomial.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the expression b² - 4ac, which determines the nature of the roots.