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          

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3