Answer:
Option (2)
Step-by-step explanation:
Let the equation of the parabola represented by the curve in the graph is,
y = a(x - h)² + k
Where (h, k) is the vertex of the parabola and 'a' is the coefficients of highest degree term of the parabola.
From the graph,
Vertex of the parabola is (-3, 0) and a point (-13, -5) exactly lies on the curve.
vertex form of the parabola will be,
y = a(x + 3)² + 0
y = a(x + 3)²
Since (-13, -5) lies on this graph,
-5 = a(-13 + 3)²
-5 = 100a
a = [tex]-\frac{5}{100}[/tex]
a = [tex]-\frac{1}{20}[/tex]
So the equation of the parabola will be,
[tex]y=-\frac{1}{20}(x+3)^2[/tex]
Option (2) will be the answer.
