Detailed description

  1. Two parabolas which are both translations of y = x squared and have the y-axis as an axis of symmetry.
    
y = x squared + 3, parabola, turning point at (0,3), one y-intercept at (0,3).
    
y = x squared − 2, parabola, turning point at (0,−2), one y-intercept at (0,2), one negative and one positive x-intercept.
  2. Two parabolas which are both translations of y = x squared. Both are translated horizontally.
    
y = (x + 2) squared, parabola, turning point at (−2,0), y-intercept at (0,4), x-intercept at (−2,0).
    
y = (x − 1) squared, parabola, turning point at (1,0), y-intercept at (0,1), x-intercept at (1,0).