Snyder Quadratics Review

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax² + bx + c.

Front

How do you find the roots of a quadratic equation?

Back

The roots can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What does the discriminant of a quadratic equation indicate?

Back

The discriminant (D = b² - 4ac) indicates the nature of the roots: D > 0 means two distinct real roots, D = 0 means one real root, and D < 0 means no real roots.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, found at the point (h, k) where h = -b/(2a) and k = f(h).

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the equation x = -b/(2a).

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression ax² + bx + c, find two numbers that multiply to ac and add to b, then rewrite the expression as (px + q)(rx + s).

Front

What is the sum of the roots of a quadratic equation?

Back

The sum of the roots of the quadratic equation ax² + bx + c = 0 is given by -b/a.

Front

What is the product of the roots of a quadratic equation?

Back

The product of the roots of the quadratic equation ax² + bx + c = 0 is given by c/a.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by P = 2(length + width).