Skip to content
  • Home
  • 中文 (香港)
Solving Master

Solving Master

Resources for HKDSE Mathematics

  • Revision Note
    • Math
      • Number and Algebra
        • Complex Number
        • Errors and Estimations
        • Exponential and Logarithm
        • Identities
        • Inequalities
        • Percentage
        • Polynomials
        • Quadratic Equation and Function
        • Sequences
        • Variations
      • Measures, Shape and Space
        • Coordinates
        • Lines and Angles
        • Mensuration
        • Properties of Circle
        • Quadrilaterals
        • Transformations
        • Triangles
        • Trigonometry
      • Data Handling
        • Probability
        • Statistics
    • M2
      • Mathematical Induction
      • Binomial Theorem
      • Trigonometry (M2)
  • HKDSE-MATH
    • 2023
      • Paper 1
      • Paper 2
    • 2022
      • Paper 1
      • Paper 2
    • 2021
      • Paper 1
      • Paper 2
    • 2020
      • Paper 1
      • Paper 2
    • 2019
      • Paper 1
      • Paper 2
    • 2018
      • Paper 1
      • Paper 2
    • 2017
      • Paper 1
      • Paper 2
    • 2016
      • Paper 1
      • Paper 2
    • 2015
      • Paper 1
      • Paper 2
    • 2014
      • Paper 1
      • Paper 2
    • 2013
      • Paper 1
      • Paper 2
    • 2012
      • Paper 1
      • Paper 2
    • 2012PP
      • Paper 1
      • Paper 2
    • 2011SP
      • Paper 1
      • Paper 2
  • HKDSE-M2
    • 2023
    • 2022
    • 2021
    • 2020
  • HKCEE
    • 2011
      • Paper 1
      • Paper 2
    • 2010
      • Paper 1
      • Paper 2
    • 2009
      • Paper 1
      • Paper 2
    • 2008
      • Paper 1
      • Paper 2
    • 2007
      • Paper 1
      • Paper 2
    • 2006
      • Paper 1
      • Paper 2
  • Other Resources
  • Toggle search form

2012-II-39

Posted on 16-06-2021 By app.cch No Comments on 2012-II-39
Ans: D
Consider the general case $y=a\cos(hx)+k$.

If $k$ is positive, then the graph translates upwards $k$ units. If $k$ is negative, then the graph translates downwards $-k$ units.

If $a > 1$, then the graph enlarges $a$ times along the $y$ axis. If $0 < a < 1$, the the graph enlarges $\dfrac{1}{a}$ times along the $y$ axis.

If $h > 1$, the the graph enlarges $\dfrac{1}{h}$ times along the $x$ axis. If $0 < h < 1$, the graph enlarges $h$ times along the $x$ axis.

Note that the graph of $y=\cos x^\circ$ is enlarged $3$ times along the $y$ axis and $\dfrac{1}{2}$ times along the $x$ axis, and then translated upwards $4$ units. Therefore, the equation of the graph is $y= 4+3\cos 2x^\circ$.

Same Topic:

Default Thumbnail2011SP-II-42 Default Thumbnail2012-II-34 Default Thumbnail2012-II-38 Default Thumbnail2013-II-15
2012, HKDSE-MATH, Paper 2 Tags:Transformations

Post navigation

Previous Post: 2012-II-38
Next Post: 2012-II-40

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Topic Cloud

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)

Copyright © 2026 Solving Master.

Powered by PressBook Grid Blogs theme