Graph Transformations

Question 1

The y-stretch

Answer 1

y=k x f(x)
The original graph is stretched parallel to the y- axis by multipling the whole function by a number (k). If the number is less than one the graph is squashed down instead

Question 2

The y-shift

Answer 2

y=f(x) + a

the whole graph slides up and down on the y axis by a

Question 3

The x-shift

Answer 3

y= f(x - a)
The whole graph slides to the left or the right by a. This one goes ‘the wrong way.’ negative a goes right, positive a goes left.

Question 4

The x- stretch

Answer 4

y=fk(x)

When k is a multiplier the graph gets scrunched up on the x axis. When k is a divider the graph stretches out.

Question 5

Reflection in x- axis

Answer 5

y= -f(x)

The entire graph is reflected in the x axis

Question 6

Reflection in y- axis

Answer 6

y= f(-x)

The entire graph is reflected in the y axis