Trig transformations

Question 1

y = -f(x)

Answer 1

Reflection of the graph y = f(x) in the x-axis

Question 2

y = f(-x)

Answer 2

Reflection of the graph y = f(x) in the y-axis

Question 3

y = -f(-x)

Answer 3

Rotation of 180 degrees around the origin

Question 4

y = f(x) + a

Answer 4

Translation of the graph y = f(x) by (0, a)

Question 5

y = af(x)

Answer 5

Vertical stretch of the graph y = f(x) with a scale factor a, parallel to the y-axis

Question 6

y = f(x+a)

Answer 6

Translation of the graph y = f(x) by (-a, 0)

Question 7

y = f(ax)

Answer 7

Horizontal stretch of the graph y = f(x), with a scale factor of 1 over a, parallel to the x-axis.