Graphs And Transformations

Question 1

Transformation of 1)f(x) + a and 2) f(x+a)

Answer 1

1) moves up a in the y direction

2) moves left a in the x direction

Question 2

Transformation of 1) af(x) 2) f(ax)

Answer 2

1) stretch in y direction scale factor a

2) stretch in the x direction scale factor of 1/a

Question 3

translation of 1) -f(x) 2) f(-x)

Answer 3

1) reflection in x axis

2) reflection in y axis

Question 4

Graph of 1)modulus f(x)
2)f (modulus x)

Answer 4

1) graph goes back up when it hits the x axis

2) graph goes back to the left when it hits the y axis