regents review

Question 1

y = f(-x)

Answer 1

reflection over the x axis

Question 2

y = -f(x)

Answer 2

reflection over y axis

Question 3

y= -f(-x)

Answer 3

reflection over origin

Question 4

y = af(x) and a>0 is a

Answer 4

vertical stretch away from the x axis

Question 5

y= af(x) and 0<a<1 is a

Answer 5

vertical compression towards the x axis

Question 6

y= f(ax) where a>0

Answer 6

horizontal compression towards y axis

Question 7

y= f(ax) where 0<x<1

Answer 7

horizontal stretch away from y axis

Question 8

for horizontal stretches and shrinks, multiply x values by reciprocal of a