Quadratics Review for MPM2D1 Unit 4 Test

These flashcards cover important vocabulary terms related to quadratic functions, their properties, and how to interpret quadratic equations.

Quadratic Function

A polynomial function of degree 2, typically in the form $y = ax^2 + bx + c$.

Vertex

The point where the parabola changes direction, given as (h, k) in vertex form.

Axis of Symmetry

A vertical line that divides the parabola into two mirror images, given by the equation $x = h$.

Discriminant

The part of the quadratic formula under the square root sign, calculated as $D = b^2 - 4ac$, used to determine the nature of the roots.

Roots

The values of x that make the quadratic equation equal to zero; can be real or complex.

Standard Form of a Quadratic

The form of a quadratic equation expressed as $y = ax^2 + bx + c$.

Factored Form of a Quadratic

The form of the quadratic expressed as $y = a(x - r_1)(x - r_2)$ where $r_1$ and $r_2$ are the roots.

X-intercepts

Points on the graph where the parabola crosses the x-axis, found by setting $y = 0$.

Y-intercept

The point on the graph where the parabola crosses the y-axis, found by evaluating the function at $x = 0$.

Parabola Opening Direction

Indicates whether the parabola opens upwards (minimum) or downwards (maximum), determined by the sign of coefficient $a$ in the quadratic equation.