the roots of a function

Question

 

Ayzha and Jeremy hold a flashlight so that the light falls on a piece of graph paper in the shape of a parabola. Azhya and Jeremy sketch the shape of the parabola and find that the equation y= x^2-3x-10 matches the shape of the light beam. Determine the roots of the function.

Answer 1

y=x²-3x-10=(x-5)(x+2), so the roots are 5 and -2.