Maths

Question 1

Graph Transformations

How does this transform the graph y=f(x)?
y=f(x+a)

Answer 1

Inside brackets - Affects the X Axis
Translation of (-a,0)

Question 2

Graph Transformations

How does this transform the graph y=f(x)?
y=f(x)+a

Answer 2

Outside brackets - Affects the Y Axis
Translation of (0,a)

Question 3

Graph Transformations

How does this transform the graph y=f(x)?
y=f(ax)

Answer 3

Inside brackets - Affects the X Axis
Stretch by 1/a in the X direction

Question 4

Graph Transformations

How does this transform the graph y=f(x)?
y=af(x)

Answer 4

Outside brackets - Affects the Y Axis
Stretch by a in the Y direction

Question 5

Graph Transformations

How does this transform the graph y=f(x)?
y=f(-x)

Answer 5

Inside brackets - Affects the X Axis
Reflection in x=0

Question 6

Graph Transformations

How does this transform the graph y=f(x)?
y=-f(x)

Answer 6

Outside brackets - Affects the Y Axis
Reflection in y=0