The graph shown have roots of x = -2 and x = 5
We could solve for x in each of the quadratic equations or we could plot the graphs of each of the quadratic equation.Then we pick the one with the roots of -2 and 5.
Plotting the graphs:
The roots of quadratic functionis the value of x when y is equal to zero.
From the graph attached above, f(x) = x² + 3x – 10 representing the blue parabola has roots of (-5, 0) and (2, 0).
This means the roots are -5 and 2.
Hence, the function in the graph is f(x) = x² + 3x – 10
