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Alg1B Unit 4

Graphing Quadratics

TermDefinition
Parabola A symmetrical U-shaped curve that represents the graph of a quadratic function.
Upward-opening parabola When a quadratic function is in the form f(x)=ax^2+bx+c or f(x)=a(x−h)^2+k, if a>0, then the parabola opens up.
Downward-opening parabola When a quadratic function is in the form f(x)=ax^2+bx+c or f(x)=a(x−h)^2+k, if a<0, then the parabola opens down.
Axis of symmetry The axis of symmetry of a parabola is a line that divides the parabola into two congruent parts.
Extreme values The coordinates where the function reaches its highest or lowest points, where the lowest point is referred to as a minimum and the highest point is referred to as a maximum.
Minimum The minimum value of a function is the place where a function reaches its lowest point.
Maximum The maximum value of a function is the place where a function reaches its highest point.
Completing the square A method used to change the form of a quadratic equation of the form ax^2+bx+c=0, where a, b, and c are real numbers and a is non-zero, such that the left side of the equation becomes a perfect square trinomial.
Vertex The vertex of a quadratic equation is the minimum or maximum point on the graph.
x-coordinate The first number in an ordered pair is the x-coordinate.
y-coordinate The second number in an ordered pair is the y-coordinate.
Vertex form The vertex form of a quadratic function is f(x)=a(x−h)^2+k, where (h,k) is the vertex of the parabola.
Zeros The points where the graph of the quadratic equation crosses the x-axis.
Intercept form The intercept form of a quadratic function is f(x)=a(x−p)(x−q) f ( x ) = a ( x - p ) ( x - q ) , where p and q are the zeros of the function.
Created by: schaffermath
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