What does the graph of y = sinθ
look like?


What does a cos graph look like?


What does a tan graph look like?


What does
the graph of y = f(x) + n look like?
eg if f(x)
= x^{2}, then y = x^{2} + n

Graph moves n places upwards.

What does
the graph of y = f(x)  n look like?
eg if f(x)
= x^{2}, then y = x^{2}  n

Graph moves n places downwards.

What does
the graph of y = f(x + n) look like?
eg if f(x)
= x^{2}, then y = (x + n)^{2}

Graph move n places to the left

What does
the graph of y = f(x  n) look like?
eg if
f(x) = x^{2}, then y = (x  n)^{2}

Graph moves n places to the right

What does
the graph of y = nf(x) look like?
eg if
f(x) = x^{2}, then y = nx^{2}

Graph is stretched up/down by a factor of n

What does
the graph of y = f(nx) look like?
eg if
f(x) = x^{2}, then y = (nx)^{2}

The graph is squashed left/right by a factor of n.

What does
the graph of y = f(x)/n look like?
eg if
f(x) = x^{2}, then y = x^{2}/n

The graph is squashed up/down by a factor of n.

What does
the graph of y = f(x/n) look like?
eg if
f(x) = x^{2}, then y = (x/n)^{2}

The graph is stretched left/right by a factor of n.

What is the formula for a circle?

x^{2} + y^{2} = r^{2}

What is the CAST diagram?


How do you solve the equation f(x) = g(x) using graphs?

 Draw
the graphs of y = f(x) and y = g(x)
 The
solutions are where the graphs intersect.
