Answer:
See below
Step-by-step explanation:
This is a bowl shaped parabola ( due to the positive coefficient of x^2)
the minimum value (vertex )
will occur at x value = - b/2a = - -4600/2(415) = 5.54 years
the minimum VALUE will be the quation with this value of x inserted
415 (5.54)^2 - 4600(5.54) + 200 000 = $ 187 253.01
The home will reach a minumum value of 187253.01 in 5.54 years