If you were instructed to convert the Standard Form équation y = x2-2x-3 to Vertex Form using the method of Completing the Square, your answer would be y = (x- 1)2-4. To create the perfect square (x-1)2, what number would you have both added to and subtracted from the right side of the equation y=x2-2x-3?

the correct answer is option c.   3

step-by-step explanation:

points to remember

equation of the line with coordinates (x₁, y₁) and (x₂, y₂) is given by,

slope m = (y₂ - y₁)/(x₂ - x₁)

from the figure we can see a line with two coordinates given

to find the slope of given line

here   (x₁, y₁)   = (-1, -1 ) and (x₂, y₂) = (1, 5)

slope m = (y₂ - y₁)/(x₂ - x₁)

  = (5 - -1)/(1 - -1)

  = (5 + 1)/(1 + 1)

  = 6/2 = 3

therefore the correct answer is option c.   3

x = 3 ± √(5+y)

inverse operation of addition