Sketch translations of standard functions

Questions asking students to sketch translations of standard algebraic functions given by equation only (e.g., y = (x+3)² or y = (x+3)²+k), without a provided sketch, requiring knowledge of the base function shape.

1 questions

Edexcel C1 2006 June Q3
3. On separate diagrams, sketch the graphs of
  1. \(y = ( x + 3 ) ^ { 2 }\),
  2. \(y = ( x + 3 ) ^ { 2 } + k\), where \(k\) is a positive constant. Show on each sketch the coordinates of each point at which the graph meets the axes.