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### 17 Cards in this Set

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