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In a volatile housing market, the overall value of a home can be modeled by V(x) = 415x2 - 4600x + 200000, where V
represents the value of the home and x represents each year after 2020. Find the vertex and interpret what the vertex of this
function means in terms of the value of the home. Show the work you completed to determine the vertex. Show work

Respuesta :

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