Review of Quadratic Functions and Graphs

A set of flashcards designed to help understand key vocabulary related to quadratic functions and their properties.

Vertex Form

A quadratic equation expressed as f(x) = a(x-h)² + k, where (h, k) is the vertex.

Axis of Symmetry

A vertical line that divides a parabola into two mirror-image halves, given by the equation x = h.

Maximum Height

The highest point the object reaches, determined in a quadratic function when the parabola opens downwards.

Factorization

The process of breaking down an expression into its simplest components, often used in solving polynomial equations.

Quadratic Formula

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

Transformations

Changes in the position, shape, or size of a graph, including shifts, reflections, stretches, and compressions.

Parabola

A symmetrical curve formed by the graph of a quadratic function, characterized by its vertex and axis of symmetry.

Height Function

A function that models the height of an object above the ground over time, typically in projectile motion.

Roots of a Quadratic

The x-values where the quadratic function intersects the x-axis, can be found by factoring, using the quadratic formula or completing the square.

Completing the Square

A method used to form a perfect square trinomial from a quadratic expression, facilitating the conversion to vertex form.