Transformations

Question 1

f(x) becomes f(x)+4

Answer 1

This is a shift in y. The x coordinates are unaffected but all the y coordinates go up by 4.

Question 2

f(x) becomes f(x)-3,

Answer 2

this is a shift in y. The x coordinates are unaffected but all the y coordinates go down by 3.

Question 3

f(x) becomes 2f(x)

Answer 3

The x coordinates are unaffected but all the y coordinates are doubled

Question 4

f(x) becomes -f(x),

Answer 4

this is a flip in y. The x coordinates are unaffected but all the y coordinates are flipped across the x-axis.

Question 5

f(x) becomes f(x+4),

Answer 5

this is a shift in the x direction. The y coordinates are unaffected but all the x coordinates go to the left by 4, the opposite direction to what is expected.

Question 6

f(x) becomes f(x-3),

Answer 6

this is a shift in the x direction The y coordinates are unaffected but all the x coordinates go to the right by 3, the opposite direction to what is expected.

Question 7

f(x) becomes f(2x),

Answer 7

this is a stretch in the x direction. The y coordinates are unaffected but all the x coordinates are halved, the opposite to what is expected.

Question 8

f(x) becomes f(-x),

Answer 8

this is a flip in the x direction. The y coordinates are unaffected but all the x coordinates are flipped across the y-axis.