QUADRATIC Relations
· Quadratic relation is a type of relationship, where the second differences within y coordinates are equal.
· This type of relation is represented by a parabola on a graph.
· A parabola is always U-shaped.
· A parabola has a vertex, which is the maximum or minimum point of the parabola.
· This type of relation is represented by a parabola on a graph.
· A parabola is always U-shaped.
· A parabola has a vertex, which is the maximum or minimum point of the parabola.
· Axis of symmetry of a parabola is a line that divides the parabola into two equal halves.
· The basic function of a quadratic relation is y = x^2. All equations of a quadratic relation is based on y = x^2.
· Positive and negative signs are considered when determining a parabola is upright or inverted.
o If x is positive, then parabola is upright (happy) and vertex in minimum point.
· The basic function of a quadratic relation is y = x^2. All equations of a quadratic relation is based on y = x^2.
· Positive and negative signs are considered when determining a parabola is upright or inverted.
o If x is positive, then parabola is upright (happy) and vertex in minimum point.
o If x is negative than the parabola is inverted (sad face) and vertex is the maximum point.
· A quadratic relation can be written in following forms:
o Vertex form: y = a(x-h)^2 + k
o Standard form: y = ax^2 + bx + c
o Factored form: y = a(x-r)(x-s)
o Vertex form: y = a(x-h)^2 + k
o Standard form: y = ax^2 + bx + c
o Factored form: y = a(x-r)(x-s)