Write the quadratic equation when the vertex is (-2, 5) and the point ( -1, 7 ) is on the parabola.(graph).

The answer to your question is  (x + 2)² = 1/2(y - 5)  or x² + 4x - 1/2 + 13/2 = 0    

Step-by-step explanation:

Data

V (-2, 5)

P(-1, 7)

Process

1.- Plot the points to determine the type of parabola

It is an upward vertical parabola

2.- Use the formula to find the equation

         (x - h)² = 4p(y - k)

- Find p, substitute the point and vertex in the equation

         (-1 +2)² = 4p(7 - 5)

                1² = 4p(2)

                1 = 8p

                p = 1/8

- Find the equation of the parabola

         (x + 2)² = 4(1/8)(y - 5)

        (x + 2)² = 1/2(y - 5)

- Find the general equation

          x² + 4x + 4 = 1/2y - 5/2

equal to zero

          x² + 4x - 1/2y + 4 + 5/2 = 0

         x² + 4x - 1/2 + 13/2 = 0          

1) is right

step-by-step explanation: