# Grade A* Facts to memorise

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) = x2, then y = x2 + n

What does the graph of y = f(x) - n look like?

eg if f(x) = x2, then y = x2 - n

What does the graph of y = f(x + n) look like?

eg if f(x) = x2, then y = (x + n)2

What does the graph of y = f(x - n) look like?

eg if f(x) = x2, then y = (x - n)2

What does the graph of y = nf(x) look like?

eg if f(x) = x2, then y = nx2

What does the graph of y = f(nx) look like?

eg if f(x) = x2, then y = (nx)2

What does the graph of y = f(x)/n look like?

eg if f(x) = x2, then y = x2/n

What does the graph of y = f(x/n) look like?

eg if f(x) = x2, then y = (x/n)2

What is the formula for a circle?

What is the CAST diagram?

Graph moves n places upwards.

Graph moves n places downwards.

Graph move n places to the left

Graph moves n places to the right

Graph is stretched up/down by a factor of n

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

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

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

x2 + y2 = r2 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.