Maths-
SAT
Easy

Question

y=x2 -6x - 16
The graph of the equation above in the xy-plane is a parabola. Which of the  following equivalent forms of the equation includes the x- and y-coordinates of the  
vertex as constants?

  1. y = (x- 3)2 - 25
  2. y = x(x -6) - 16
  3. y = x2 -2(3x + 8)
  4. y + 16 = x(x -6)

The correct answer is: y = (x- 3)2 - 25


    y = x2 – 6x – 16
    = x2 – 2 (3) x + 32 – 32 – 16
    = (x -3)2 – 9 – 16
    y = (x-3)2 – 25

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