Convert y = x^2 + 2x - 5 into the form y-k = a( x- h)^2

1 Answer

  • Answer:


    Step-by-step explanation:

    we have


    This is the equation of a vertical parabola open upward (because the leading coefficient is positive)

    The vertex is a minimum

    The equation of a vertical parabola into vertex form is



    (h,k) is the vertex of the parabola

    Convert the equation into vertex form

    Move the constant term to the left side


    Complete the square



    Rewrite as perfect squares




    The vertex is the point (-1,-6)