Answer:
f(x) = (x + 3)² + 2
Step-by-step explanation:
Vertex for of a quadratic function is given by,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the parabola.
From the given picture,
(-3, 2) is the vertex of the graph.
Therefore, function will be,
f(x) = a(x + 3)²+ 2
Since, the graph of the function passes through (0, 11),
f(0) = a(0 + 3)²+ 2
11 = 9a + 2
9a = 9
a = 1
Equation of the function,
f(x) = (x + 3)² + 2
