3.4

The graph of y= -f(x)is a reflection of the graph

of y=f(x) about the x-axis

The graph of y=f(-x)is a reflection of the graph

of y=f(x) about the y-axis

The graph of y=f(4x) stretches the graph

of y=f(x) horizontally by factor of 1/4

The graph of y= 8f(x) stretches the graph of

of y=f(x) vertically by factor 8

The graph of y=f(x+2) is identical to the graph y=f(x) except that is translated 2 units

to the left

To draw the graph of y=f(x+2)^2-3, translate the graph of y=x^2,

2 units to the left and 3 units down.

To draw the graph of y=(x-3)^3+1, translate the graph of y=x^3,

3 units to the right and 1 unit up.

The graph of y=f (x) - 7 is identical to the graph of y= f (x) except that it is translated.

7 units down

The graph y= f (X - 3) is identical to the graph y=f (x) except that it is translated 3 units

To the right