The curve with equation $$\(y=x^{2}\)$$ is transformed to the curve with equation $$\(y=x^{2}+6 x+5\)$$. Describe fully the transformation(s) involved. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_w20_qp_13 Year:2020 Question No:1(b)

Answer:

[Translation or shift] \(\left(\begin{array}{l}-3
-4\end{array}\right)\)

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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