1) What are the graphs of quadratic functions? a) elipses b) hyperbolas c) parabolas d) circles 2) What does an upward parabola look like? a) a frown b) a smile c) a resemblance of capital 'A' d) a cap 3) For quadratic function f(x) = ax^2 +bx +c, the value of a is a) always negative b) always positive c) equal to 0 d) not equal to 0 4) Vertex of an upward parabola is a .... point. a) minimum b) maximum c) neither maximum nor minimum d) terminating 5) The domain of a quadratic function consists entirely of .... numbers. a) natural b) rational c) real d) whole 6) If the vertex of a parabola is minimum, its range is all real numbers ....... the y-value. a) equal to b) greater than c) greater than or equal to d) less than 7) What is the equation of axis of symmetry of parabola y= ax^2 +bx +c? a) x=a b) x=b c) x= -b/2a d) x= (4ac -b^2)/4a 8) What is the vertex of parabola y =ax^2 +bx +c? a) (-b/2a, (4ac-b^2)/4a) b) (b/2a, (4ac-b^2)/4a) c) (-b/2a, (b^2 -4ac)/4a) d) (-b/2a, (b^2 -4ac)/2a) 9) What is the y-intercept of y= 2x^2 + 11x -8? a) -8 b) 8 c) -4 d) 4 10) What are the x-intercepts of y= x^2 -4 a) 4, -4 b) 2, -2 c) 0, 0 d) 0, 2 11) Each quadratic function will have .... a) two x-intercepts b) one x-intercept c) no x-intercept d) any of above 12) What is the degree of a quadratic equation? a) 0 b) 1 c) 2 d) 3 13) The polynomial equation x(x+1)+8= (x+2)(x-2) is... a) linear b) quadratic c) cubic d) bi-quadratic 14) What are the roots of 6x^2 -x -2 =0 ? a) 2/3, 1/2 b) 2/3, -1/2 c) -2/3, 1/2 d) -2/3, -1/2 15) Which of the quadratic equation has only one root? a) 2x^2 +12x +18 =0 b) 2x^2 +12x -18 =0 c) 2x^2 -12x -18 =0 d) 2x^2 +12x +8 =0 16) If p and q are the roots of x^2 +bx +c =0 then a) p+q = b b) p-q =c c) pq =b d) pq =c 17) If one of the roots of x^2 - 6x +7 =0 is 7 then other root is ... a) 1 b) -1 c) 8 d) 6 18) If one of the roots of x^2 - 6x +7 =0 is (3+√2) then other root is ... a) 3- √2 b) 1 c) -1 d) 7/(3-√2) 19) If 2x^2 +kx +3 =0 has two equal roots, then the value of k^2 is ... a) 4 b) 6 c) 9 d) 24 20) What are the roots of x + 1/x =3 for x not equal to 0? a) 3+√5, 3- √5 b) (3+v5)/2, (3-√5)/2 c) 2+√5, 2-√5 d) (3+√3)/2, (3-√3)/2 21) What are the roots of 2x^2 -2√2 x +1 =0 ? a) 1/√2, 1/√2 b) √2, √2 c) 1/√2, - 1/√2 d) √2, 1/√2 22) What is the sum of the roots of 3x^2 -9x +5 =0 ? a) 6 b) 2 c) -3 d) 3 23) If 4 is a root of x^2 +px +12 =0, what is the value of p? a) -12 b) -16 c) 7 d) -7 24) If p and q are the roots of 4x^2 +3x +7 =0, what is the value of 1/p +1/q ? a) -3/4 b) -3/7 c) 3/7 d) 7/4 25) If the roots of px^2 +qx +2 =0 are reciprocal of each other, then.... a) p= 0 b) p=-2 c) p= +2 or -2 d) p= 2
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Quadratics
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