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Solving for Maximum / Minimum (Complete the Square)

  1. 1
    Find the maximum or minimum value and the value of $x$ when it occurs.
    $$y=x^2+6x+2$$
    For extra review on completing the square, click here
  2. 2
    Find the maximum or minimum value and the value of $x$ when it occurs.
    $$y=2x^2+20x+8$$
  3. 3
    Find the maximum or minimum value and the value of $x$ when it occurs.
    $$y=-3x^2+18x+1$$
  4. 4
    Find the maximum or minimum value and the value of $x$ when it occurs.
    $$y=-4x^2+5x-3$$
  5. 5
    Find the maximum or minimum value and the value of $x$ when it occurs.
    $$y=0.5x^2+3x+6$$
  6. 6
    Find the maximum or minimum value and the value of $x$ when it occurs.
    $$y=\frac{2}{3}x^2+8x+5$$
  7. 7
    Find the maximum or minimum value and the value of $x$ when it occurs.
    $$y=-\frac{1}{3}x^2-3x+4$$
  8. 8
    Find the maximum or minimum value and the value of $x$ when it occurs.
    $$y=-0.2x^2+0.5x-7$$
    For extra review on completing the square, click here

$$e=mc^2$$