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2012-II-06

Posted on 16-06-202121-06-2023 By app.cch No Comments on 2012-II-06
Ans: D
Consider the equation $y=a(x+b)^2$.

The sign of $a$ represents the direction of the opening of the parabola. If $a$ is positive, the graph opens upwards. If $a$ is negative, the graph opens downwards. According to the graph, the graph opens downwards. Therefore $a<0$.

$-b$ is the root of the graph. Since the root is now positive, then $-b>0$. Therefore $b<0$.

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2012, HKDSE-MATH, Paper 2 Tags:Quadratic Equations and Functions

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3D Problems (41) Basic Functions (13) Basic Geometry (68) Binomial Theorem (7) Change of Subject (32) Complex Numbers (16) Coordinates (46) Differentiation (16) Equations of Circle (54) Equations of Straight Line (43) Estimations and Errors (35) Factorization (39) Graph of Functions (3) Inequality (39) Integration (15) Laws of Indices (43) Linear Programming (21) Locus (13) Logarithm (34) Mathematical Induction (7) Matrices (4) Mensuration (98) Numeral System (19) Percentage (42) Polynomials (49) Probability (85) Properties of Circles (56) Quadratic Equations and Functions (57) Rate and Ratio (30) Rational Functions (20) Sequences (66) Simultaneous Linear Equations (27) Statistics (122) System of Linear Equations (3) Transformations (44) Trigonometry (M2) (7) Trigonometry and Its Applications (67) Variations (38) Vectors (3)

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