The solution of a quadratic function are usually called the roots of the quadratic equation.
So, if the graph given represents the quadratic equation whose roots we require, the solution of this quadratic equation will be the values of the function at f(x) = 0.
f(x) is the quadratic equation represented on the graph with a general formula
f(x) = ax² + bx + c
The roots of the quadratic equation are the values of x when f(x) = 0.
So, these values of x will be the x-intercept values, that is, the points where the graph of the function crosses the x-axis.
So, looking at this graph carefully, we can see that the graph crosses the x-axis at x = -5 and x = -1
Hence, the roots of the quadratic function shown on the graph are x = -5 and x = -1.
