Transformations of graphs

Question 1

y=f(x)+a

Answer 1

• If “a” is positive then the whole curve moves upwards.

- If “a” negative then the whole curve moves downwards

Question 2

y=f(x+a)

Answer 2

• If “a” is positive then the whole curve moves to the left.

- If “a” is negative then the whole curve moves to the right.

Question 3

y=af(x)

Answer 3

-The curve stretches out by a scale factor of “a”.

BUT POINTS ON X-AXIS DO NOT MOVE.

Question 4

y=f(ax)

Answer 4

-The graph is stretched by a scale factor of “1/a”

BUT POINTS ON THE Y-AXIS DO NOT MOVE.