Answer:
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
