Quadratic Functions – Vocabulary – Flashcards
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Quadratic Function
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a function that can be written in the form f(x)=ax^2+bx+c, where a, b & c are real numbers and a is not equal to zero
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Parabola
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a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve
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Parent Function
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the most basic function of a family of functions, or the original function before a transformation is applied
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Vertex
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the point of intersection of lines or the point opposite the base of a figure
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Axis Of Symmetry
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A line that divides a figure in half so that each half is the mirror image of the other
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Minimum Value
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The lowest point of a parabola (when a>0)
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Maximum Value
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The highest point of a parabola ( when a<0)
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Intercept Form
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y=a(x-p)(x-q)
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Quadratic Equation
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ax² + bx + c = 0
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x-intercept
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x coordinate of a point where a graph crosses the x axis/ y coordinate of this point is zero
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Square Root
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√(xy) = √x · √y, a number that when multiplied by itself equals a given number
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Zero Of a Function
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a value of x that makes the function's value zero
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Roots
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the solutions to a quadratic equation
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Perfect Square
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a square of a whole number
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Linear Function
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a function in which the graph of the solutions forms a line
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Exponential Function
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a function in which an independent variable appears as an exponent
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Discriminant
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b²-4ac
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Perfect Square Trinomial
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a trinomial in the form a²+2ab+b² or a²+2ab+b²
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Axis of symmetry (mathematically)
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X = - b/2a
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vertex has a x-coordinate of
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X = - b/2a, (X,Y)
