Maths module 1 : coordinate geometry

Where does the graph

Y=k/x have asymptotes

At y=0 and x=0

Describe how f(x)+a affects a graph

Translation by

0

b

so a translation b units up or down in the y axis direction

Describe how f(x+a) affects the graph ?

Translation a units left

-a

0

So translation in the x direction opposite to the sign of a

How does a(f(x)) affect the graph ?

Enlargement by scale factor a in the vertical direction

So the y coordinate increase by a factor of a

How does f(ax) affect the graph ?

Diminishment scale factor 1/a (a⁻¹)

So the x axis values are divided by a

What does f(-x) do to a graph ?

Flips the graph in the y axis

Reflection in y axis

What does -f(x) do to the graph

Flips the graph in the x axis

What is the standard shape for a graph of x^4

What is the standard shape of an x³ graph