Quadratic Unit Vocab
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| Domain | set of all first coordinates, they are independent variables sometimes referred to as 'input'
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| Range | set of all 2nd coordinates, they are dependent variables sometimes referred to as 'output'
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| Function | a special type of relation where each element of the domain is paired with exactly one element of the range "the 2nd coordinate CAN be repeated and the 1st CANNOT"
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| Function Notation | used to write equations that represent functions where
f(x) takes the place of y
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| y-intercept | where the graph crosses the y-axis; (0,c) of a quadratic function
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| Parabola | the shape of the quadratic function graph – opens up when the leading coefficient ‘a’ is positive and opens down with the leading coefficient ‘a’ is negative
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| Axis of Symmetry | an imaginary line through the middle of the parabola where each side match (usually shown on the graph as dashed)
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| Equation for Axis of Symmetry | a vertical line with the equation x= -b/2a
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| Vertex | the point on the parabola where the axis of symmetry intersects the graph of the quadratic equation
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| the x-coordinate of the vertex | h= -b/2a
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| the y-coordinate of the vertex | k = f(-b/2a)
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| Maximum Value | the y-coordinate of the vertex on the parabola when a<0
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| Minimum Value | the y-coordinate of the vertex on the parabola when a>0
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| Root | the solutions of a quadratic equation
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| Zero | a method for finding the roots for which f(x) = 0
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| x-intercepts | coordinate where y is 0 "place on graph where the graph CROSSES (intersects) the x-axis!
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| Zero product property | At least one of the factors must equal zero for the function to equal zero
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| Quadratic formula | a formula used to solve quadratic equations
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| Discriminant | part of the quadratic formula that describes the type of roots for the quadratic function
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| Discriminant = 0 | One Real Root of a quadratic (double root)
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| Discriminant < 0 | No real roots of a quadratic
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| Discriminant > 0 and a Perfect Square | Two real rational roots of a quadratic
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| Discriminant > 0 and NOT a Perfect Square | Two real irrational roots of a quadratic
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| Rational Number | Any number that can be written as a fraction where the denominator is NOT 0
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| Irrational Number | Any number that can NOT be written as a fraction (non repeating decimal, like pi or square root of 2)
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| Vertex Form of Quadratic Equation | y = a(x – h)^2 + k where (h,k) is the vertex
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| Horizontal Shift | a movement of right/left of ‘h’ spaces
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| Vertical Shift | a movement up/down of ‘k’ spaces
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Created by:
martha.kelley