### Grade A* Facts to memorise

Grade A* Facts - flashcards

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 Graph moves n places upwards. What does the graph of y = f(x) - n look like?   eg if f(x) = x2, then y = x2 - n Graph moves n places downwards. What does the graph of y = f(x + n) look like?   eg if f(x) = x2, 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) = x2, 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) = x2, then y = nx2 Graph is stretched up/down by a factor of n What does the graph of y = f(nx) look like?   eg  if f(x) = x2, 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) = x2, then y = x2/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) = x2, then y = (x/n)2 The graph is stretched left/right by a factor of n. What is the formula for a circle? x2 + y2 = r2 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.