Graph transformations

Question 1

y=f(x+a)

Answer 1

Horizontal translation by -a or vector [-a,0]

Question 2

y=f(x)+a

Answer 2

Vertical translation by factor a or vector [0,a]

Question 3

y=2f(x)

Answer 3

Vertical stretch by factor 2 (y coords increase by 2 but x coords remain the same).

Question 4

y=f(2x)

Answer 4

Horizontal stretch bf factor 0.5 (x coord is multiplied by 1/a and y coord remains the same)

Question 5

y= -f(x)

Answer 5

Reflection in x-axis (only y coords are changed)

Question 6

y=f(-x)

Answer 6

Reflection in y-axis (only x coord is chnaged)

Question 7

For the reflection look at where the -ve is to see if it would chnage the x or y to check have right reflection

Answer 7

For the reflection look at where the -ve is to see if it would chnage the x or y to check have right reflection