The graph of $$$y=f(x)$$$ is transformed to the graph of $$$y=1+\mathrm{f}\left(\frac{1}{2} x\right)$$$. Describe fully the two single transformations which have been combined to give the resulting transformation. ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................ ................................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_m20_qp_12 Year：2020 Question No：2

Answer:

[Stretch] [factor $2, x$ direction (or $y$-axis invariant)
[Translation or Shift] [ 1 unit in $y$ direction] or $\left[\right.$
Translation/Shift] $\left[\left(\begin{array}{l}0 \\
1\end{array}\right)\right]$

Knowledge points:

1.2.5 understand and use the transformations of the graph of and simple combinations of these. (Including use of the terms ‘translation’, ‘reflection’ and ‘stretch’ in describing transformations. Questions may involve algebraic or trigonometric functions, or other graphs with given features.)

Answer:

Knowledge points:

Solution:

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