Understanding Quadratic Functions

Quadratic Function

• polynomial function of degree 2, in the form @@f(x) = ax^2 + bx + c@@

• linear function of degree 1, in the form @@f(x) = mx + b@@

• constant function, in the form @@f(x) = c@@

• exponential function, in the form @@f(x) = a imes b^x@@

*Front:* Maximum

• highest y-value of the vertex

• lowest x-value of the vertex

• average value of the function

• maximum x-value of the function

*Front:* Parabola

• graph of a quadratic function, a U-shaped curve

• a straight line that extends infinitely in both directions

• a closed curve with two foci

• a circular shape defined by a center point

Y-intercept

• point where the parabola crosses the y-axis, @@ (0, c) @@

• point where the parabola crosses the x-axis, @@ (c, 0) @@

• the vertex of the parabola, @@ (h, k) @@

• the focus of the parabola, @@ (h, k + p) @@

Opens upward

• positive "a" value

• negative "a" value

• zero "a" value

• undefined "a" value

solution

• point on the graph

• line equation

• variable value

• function domain

*Front:* Roots/Zeros/Solutions

• x-values where the parabola crosses the x-axis

• y-values where the parabola reaches its maximum

• points where the parabola is tangent to the x-axis

• x-values where the parabola has its vertex

*Front:* Vertex

• A point where two lines meet

• The highest or lowest point on a parabola, turning point

• The midpoint of a line segment

• The angle formed by two intersecting lines

Opens downward

• positive "a" value

• negative "a" value

• zero "a" value

• undefined "a" value

*Front:* Minimum

• highest y-value of the vertex

• lowest y-value of the vertex

• average y-value of the vertex

• y-value at the origin