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17 Cards in this Set
- Front
- Back
A quadratic function f is a function in the form of:
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f(x) = ax^2 + bx + c
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A quadratic function requires
a, b and c are _____ numbers and a is not equal to ____. |
real numbers
zero |
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The graph of the quadratic function is called a _________.
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parabola
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A parabola is _____ shaped curve that may open up or down depending on the sign of the ______________ __.
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U
coefficient a |
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Three pieces information needed about a parabola:
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vertex
x-intercepts (there may be 0, 1, or 2 x-intercepts) y-intercept (there is always one) |
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Direction of parabola is determined by
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a = positive = up
a = negative = down |
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The highest exponent in a quadratic function is
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2
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In f(x) = ax^2 + bx + c, the letters a, b, and c are called:
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coefficients
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Quadratic equations are so called because 'quadratus' is Latin for _________ and the leading term is __________.
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square
squared |
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Vertex
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lowest point or highest point of a parabola
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Maximum point vertex means ...
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parabola direction is downward.
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Minimum point vertex means ...
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parabola direction is upward.
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Which of the following is not a quadratic function and why?
A. y = 3x^2 B. y = 4x^3 + 3x^2 + 2x + 1 C. y = −3x^2 + 2x + 4 D. y = −x^2 |
B
highest power is a 3 |
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Which of the following best describes the graph of:
y = x^2 − 2x + 3? A. a U-shaped curve opening upwards B. a U-shaped curve opening downwards |
A
coefficient of the x^2 is positive |
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Which of the following best describes the graph of
y = −x^2? A. a U-shaped curve opening upwards B. a U-shaped curve opening downwards |
B
coefficient of the x^2 term is negative |
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x coordinate for vertex
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x= -b / 2a
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f(x) = -3x^2-6x-3
x = ? |
x= -(-6) / 2(-3)
x= -1 |