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17 Cards in this Set
- Front
- Back
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What is the standard form for a quadratic equation?
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ax^2 + bx + c
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What is the equation to find the vertex of a quadratic equation?
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(-b/2a, f(x))
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What is the equation to find the axis of symmetry of a quadratic equation?
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-b/2a
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What is the vertex form for a quadratic equation?
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y = a (x - h)^2 + k
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What is the intercept form for a quadratic equation?
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y = a (x - p)(x - q)
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In a polynomial equation, if
f is of an odd degree and the exponent of the leading coefficient > 0, what is the behavior of the graph? |
f(x) →∞ as x →∞
f(x) → - ∞ as x → - ∞ |
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In a polynomial equation if
f is of an odd degree and the exponent of the leading coefficient < 0 what is the behavior of the graph? |
f(x) → - ∞ as x →∞
f(x) →∞ as x → - ∞ |
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In a polynomial equation if
f is of an even degree and the exponent of the leading coefficient is > 0 what is the behavior of the graph? |
f(x) →∞ as x →∞
f(x) → ∞ as x → - ∞ |
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In a polynomial equation if
f is of an even degree and the exponent of the leading coefficient is < 0 what is the behavior of the graph? |
f(x) → - ∞ as x → ∞
f(x) → - ∞ as x → - ∞ |
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In a rational function, if n < m what is the horizontal asymptote?
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y = 0
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In a rational function, if n = m what is the horizontal asymptote?
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y = a/b
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In a rational function, if n > m what is the horizontal asymptote?
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no horizontal asymptote
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In a rational function, how would you find the vertical asymptote?
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you set the bottom part of the fraction equal to 0 and solve
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In a rational function, how would you find the x intercept?
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Set equation equal to 0 and solve
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In a rational function how would you find the y intercept?
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Replace x with a 0 and solve
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Factor a^3 + b^3
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(a + b)(a^2 – ab + b^2)
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Factor a^3 – b^3
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(a – b)(a^2 + ab + b^2)
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