Step-by-step explanation:
the point being that a quadratic equation has 2 x-intercepts (or solutions of x for y = 0).
the advantage of this nice form the equation is written in is, that we see immediately both conditions, when y can be 0 : one of the bracket expressions must be 0.
so, the point (1, 0) covers (x-1).
we get the solution for (x-n), when we consider that such a quadratic function is simply a parabola and is symmetric around its vertex point.
the x value of the vertex (-2) tells us, that it is 3 units on the left side of the (1, 0) x-intercept point.
due to the symmetry of the curve the second x-intercept point must be even further to the left with additional 3 units distance in x direction.
so, -2 - 3 = -5
and A is the correct answer option.
