In the diagram, the graph of $$\(y=\mathrm{f}(x)\)$$ is shown with solid lines. The graph shown with broken lines is a transformation of $$\(y=\mathrm{f}(x)\)$$. Describe fully the two single transformations of $$\(y=\mathrm{f}(x)\)$$ that have been combined to give the resulting transformation. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................
Exam No:9709_m21_qp_12 Year:2021 Question No:5(a)
Answer:
(Stretch) (factor 3 in \(y\) direction or parallel to the y-axis)
\(
\text { (Translation) }\left(\begin{array}{l}
4 \\
0
\end{array}\right)
\)
\(
\text { (Translation) }\left(\begin{array}{l}
4 \\
0
\end{array}\right)
\)
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.)
Solution:
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