Question

a car dealership wants to sell a used jeep wrangler for $32,000. the dealer will allow the price to vary by $1,600. if ( x ) is the selling price of the jeep and ( v ) is the amount of price variation, the function ( v(x)=|x - 32000| ) can be used to find the amount of variation in the price. what is the vertex of the function ( v(x)=|x - 32000| )?

Explanation:

Step1: Recall the vertex form of absolute value function

The general form of an absolute value function is \(y = a|x - h|+k\), and its vertex is \((h,k)\).

Step2: Identify \(h\) and \(k\) in the given function

For the function \(V(x)=|x - 32000|\), we can rewrite it as \(V(x)=1|x - 32000|+0\). Here, \(h = 32000\) and \(k = 0\).

Answer:

\((32000,0)\)