Trig/Pre-Calc section 1.6 study guide

if a >1

vertical stretch by a factor of "a"

if 0

vertical compression by a factor of "a"

if a is negative

reflection over the x-axis

if b>1

horizontal compression by a factor of "1/b"

if 0

horizontal stretch by a factor of "1/b"

if b is negative

reflection over the y-axis

+ c

horizontal translation to the right [will look like (x-c)]

-c

horizontal translation to the left [ will look like (x+c)]

+ d

vertical translation up

- d

vertical translation down

y = -f(x)

reflection across x-axis

y= f(-x)

reflection over y-axis

y=-f(-x)

through the origin

y= |f(x)|

reflecting the portion below the x-axis across the x-axis

y= f (|x|)

reflecting the portion of the graph left of the y-axis to the right side of the y-axis