Your grandfather purchased a house for $50,000 in 1952 and it has increased in value according to a function

y = v(x),

where x is the number of years owned. these questions probe the future value of the house under various mathematical models. (let x = 0 represent the year 1952.)

suppose the value of the house is $75,000 in 1962 and $120,000 in 1967. assume v(x) is a quadratic function. find a formula for v(x). (round your values to two decimal places.)