Answer:
y = 3(x - 2)² - 5
Step-by-step explanation:
Let the equation of the parabola is,
y = a(x - h)² + k
Here, (h, k) is the vertex of the given parabola.
Since, vertex of the parabola is (2, -5)
Equation of the parabola will be,
y = a(x - 2)²- 5
Since, parabola passes through a point (3, -2),
-2 = a(3 - 2)²- 5
-2 + 5 = a(1)
a = 3
Therefore, equation of the parabola will be,
y = 3(x - 2)²- 5
