Exercise #8 notes

1.
Exercise #8 Horizontal andVertical Stretches 2 f ( x) f (2 x) f ( x) x2 Example The graph below is f ( x) . y x x Sketch 3 f ( x) Sketch f 3 y y x x

2.
Generalizations f( x) af ( x) f ( x) f (b( x)) Combining translations and stretches ** Always stretch first, then translate around the graph! Putting Transformations Together f ( x) y x 1 Sketch 2 f ( x 3) 2 Sketch f x 2 y y x x Journal The x-intercepts of f(x) are 6, 2 and –8. Determine the x-intercepts of f(2x – 4).