Pre-Calc Translations Review 10/23

1) Translate the following points by the translation T(x,y): (x -7, y + 9):

(-1, 8), (-4, 7), (10, -3), and (12, 2)

2) For the following translations and parent functions, you are to write the equation of the translated function and sketch the graph without your calculator! State the domain and range, whether each function has any linear or rotational symmetry and asymptotes, and whether it is odd, even, or neither.

a) T(x,y): (x - 3, y + 4) b) T(x,y): (x - 1, y – 7) c) T(x,y): (x + 4, y + 2) d) T(x,y): (x - 1, y +5)

y = x³ y = 1/x y = 1/ x² y = Öx

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2) For the following graphs, state the parent function, the translation, the equation of the function you see, the domain and range and any asymptotes and symmetries:

a) b) c) d)

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