Question

In a volatile housing market, the overall value of a home can be modeled by V(x)=325x2-4600x+145000, 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

Answer 1

Answer:

The vertex of the given equation is    which shows that the value of the market after about 5 years is about 187,253.01

Functions and values

Given the overall value of a home can be modeled by

V(x) = 415x^2 – 4600x + 200000

Write in vertex form to have:

V(x) = 415x^2 – 4600x + 200000

For the given equation, the vertex occur at

Hence the vertex of the given equation is    which shows that the value of the market after about 5 years is about 187,253.01