From the given grah, let's find the equation of the quadratic function in factored form shown in the graph.
From the graph, we have the following:
Vertex ==> (-0.5, 6.25)
Axis of symmetry==> x = -0.5
x-intercepts: x = -3, x = 2
The roots of the function are x-intercepts which are the factors.
We have:
x = -3 and x = 2
Equation both equations to zero.
x + 3 = 0 and x - 2 = 0
Thus, the function in factored form of the graph is:
ANSWER