A. y = f (x) y = f (3x) y = f (3(x + 2)) y = f (3x + 6)) horiz. comp. horiz. translation B. y = y = y = horiz. Comp horiz. translation C. y = (2x) + 3 a reflection in the x-axis (4, (4, 5) −f −5) a horiz. comp. by a factor of (4, 5) (2, 5) and a vert. trans. 3 units UP (2, 5) (2, 8) B. Two things have happened with this It has been reflected in the y-axis (replace x with –x) It has then been translated 8 units RIGHT (replace x with x−8) C. 4y = f(–x) represents a vertical compression of a factor of which means (6, becomes (6, and since x has been replaced with (−x) −12) −3) (6, becomes (−6, −3) −3) B. Two things have happened with this graph It has been horizontally expanded by a factor of 2 (replace x with x) It has then been translated 1 unit RIGHT (replace x with x−1) D. Following the given: (9, becomes (27, −12) −12) (27, becomes (27, 12) −12) (27, 12) becomes (27, 7) (27, 7) becomes (7, 27) C or D. The inverse of y = x2 is x = y2 Isolate this for y and get y = but, = x1/2
A. y = f (x) y = f (3x) y = f (3(x + 2)) y = f (3x + 6)) horiz. comp. horiz. translation B. y = y = y = horiz. Comp horiz. translation C. y = −f (2x) + 3 a reflection in the x-axis (4, −5) (4, 5) a horiz. comp. by a factor of (4, 5) (2, 5) and a vert. trans. 3 units UP (2, 5) (2, 8) B. Two things have happened with this It has been reflected in the y-axis (replace x with –x) It has then been translated 8 units RIGHT (replace x with x−8) C. 4y = f(–x) represents a vertical compression of a factor of which means (6, −12) becomes (6, −3) and since x has been replaced with (−x) (6, −3) becomes (−6, −3) B. Two things have happened with this graph It has been horizontally expanded by a factor of 2 (replace x with x) It has then been translated 1 unit RIGHT (replace x with x−1) D. Following the given: (9, −12) becomes (27, −12) (27, −12) becomes (27, 12) (27, 12) becomes (27, 7) (27, 7) becomes (7, 27) C or D. The inverse of y = x2 is x = y2 Isolate this for y and get y = but, = x1/2
ch.2_practice_test_solutions.docx