Graphs & Transformations

Question 1

Y=f(x) + a

Answer 1

Translation by (0 a)

Question 2

Y=f(x+a)

Answer 2

Translation by (-a 0)

Question 3

Y=af(x)

Answer 3

Stretch with a scale factor a in the y-direction

Question 4

Y=f(ax)

Answer 4

Stretch with a scale factor a^-1 in the x-direction

Question 5

Y=-f(x)

Answer 5

Reflection in the x-axis

Question 6

Y=f(-x)

Answer 6

Reflection in the y-axis