Quadratic Graphs Flashcards

An equation in the form y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

The shape of the graph of a quadratic equation. It is a U-shaped curve that can open upwards or downwards.

The turning point of the parabola. It is the maximum or minimum point of the graph.

A vertical line that passes through the vertex of the parabola and divides it into two symmetrical halves.

Determined by the sign of 'a' in y = ax² + bx + c. If a > 0, the parabola opens upwards. If a < 0, it opens downwards.

The x-values where the graph intersects the x-axis. These are the solutions to the equation ax² + bx + c = 0.

The point where the graph intersects the y-axis. It is given by the constant term 'c' in y = ax² + bx + c.

A method used to rewrite a quadratic equation in the form y = a(x + p)² + q, which helps identify the vertex.

The value of b² - 4ac in the quadratic formula. It determines the number of roots: 2 roots if positive, 1 root if zero, and no real roots if negative.

Used to find the roots of a quadratic equation: x = (-b ± √(b² - 4ac)) / 2a.