1. Consider dilating the graph of y = x215
by a factor of 2 from the x-axis. 10
(2,8)
The point (x, y) maps onto the point (x, 2y). 5
(2,4) 
(2, 8)
e.g. (2, 4) x -3 -2 -1 1 2 3

2. Consider dilating the graph of y = x215
by a factor of 3 from the x-axis.
(2,12) 10
The point (x, y) maps onto the point (x, 3y). 5
(2,4) 
(2, 12)
e.g. (2, 4) x -3 -2 -1 1 2 3

3. Consider dilating the graph of y = x215
by a factor of 0.5 from the x-axis. 10
The point (x, y) maps onto the point (x, 0.5y).
y = 0.5x2 5
(2,4) 
(2, 2)
(2,2)
e.g. (2, 4) x -3 -2 -1 1 2 3

4. A dilation of factor a from the x-axis transforms the graph of y = f(x) to that of y = af(x).
(x, y)  (x, ay)
A dilation factor greater than 1 ‘stretches’ the graph ‘away from’ the x-axis. x
A dilation factor less than 1 ‘shrinks’ the graph ‘towards’ the x-axis. x

5. Consider dilating the graph of y = x215
by a factor of 2 from the y-axis. 10
The point (x, y) maps onto the point (2x, y). 5
y = 0.25x2 
(2, 1)
e.g. (1, 1)
(1,1)
(2,1) x -3 -2 -1 1 2 3

6. Consider dilating the graph of y = x215
by a factor of 0.5 from the y-axis 10
The point (x, y) maps onto the point (0.5x, y). 5
(1,4)
(2,4) 
(1, 4)
e.g. (2, 4) x -3 -2 -1 1 2 3

7. A dilation of factor a from the y-axis transforms the graph of y = f (x) to that of y = f ( ).
(x, y)  (ax, y)
A dilation factor greater than 1 ‘stretches’ the graph ‘away from’ the y-axis. y
A dilation factor less than 1 ‘shrinks’ the graph ‘towards’ the y-axis. y