Answer:
y = 0.1(x + 5)² + 1.5
Step-by-step explanation:
Equation of a parabola having vertex at (h, k) is given by,
y = a(x - h)² + k
From the given graph, vertex of the parabola is (-5, 1.5)
Therefore, equation of the parabola will be,
y = a(x + 5)² + 1.5
Since, this parabola passes through a point (0, 4)
4 = a(0 + 5)² + 1.5
4 = 25a + 1.5
25a = 2.5
a = 0.1
By substituting the value of 'a' in the equation of the parabola,
y = 0.1(x + 5)² + 1.5
