Quadratic Functions
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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general quadratic expression | ax^2 + bx + c
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quadratic equation | ax^2 + bx + c = 0
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quadratic function (standard form of a quadratic) | f: x --> ax^2 + bx + c
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Binomial Square Theorem | For all real numbers x and y,
(x+y)^2 = x^2 + 2xy + y^2 and (x-y) = x^2 - 2xy + y^2
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|-28| = ? | 28 (absolute value)
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what is the graph of the absolute value function? | f(x) = |x|
an angle
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Graph-Translation Theorem | In a relation described by a sentence in xa dn y, the following two processes yield the same graph:
(1) replacing x by x - h and y by y - k;
(2) applying the translation T*h,k to the graph of the original relation.
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graph of the equation y = ax^2 + bx = c is a parabola congruent to the graph of what equation? | y = ax^2
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Imaginary numbers | Square root of a negative number like -100 is 10i. Turn positive and add on imaginary number symbol (i)
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i^2 = ? | -1
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Complex number | when a real number and an imaginary number are added. In the form of a + bi
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Discriminant Theorem | Suppose a, b, c are real numbers with a not equaling 0. Then the equation ax^2 + bx + c = 0 has
(i) two real solutions if b^2 - 4ac > 0.
(ii) one real solution if b^2 - 4ac = 0.
(iii) two complex conjugate solutions if b^2 - 4ac < 0.
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Created by:
katelesperance
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