Constructing Functions by Transformations of f(x)=x²- task

Topic:
Functions
Record the transformations you used and the correspondence rules that resulted. Try to do it in more than one way.
  • A function whose graph intersects the x-axis at points (2,0) and (-2,0), and the y-axis at point (0,16)  
  • A function whose graph passes through the origin and whose vertex is (2,8)
  • A function whose graph passes through the origin and through points (2,0) and (3,
  • A function whose graph intersects the x-axis at points (1,0) and (3,0) and the y-axis at point (0,9)
  • A function whose vertex is at point (3,14) and whose graph intersects the y-axis at point (0,5).