Minimizing an Area

Algebra Level 1

Consider two points \(A=(4, -4)\) and \(B=(8, 0),\) and a third point \(P\) on the graph of \(y=\frac{1}{2}x^2\). If \(P=(a,b)\) is the point minimizing the area of the triangle \(ABP,\) and \(S\) is the minimum area, what is the value of \(a+2b+4S?\)

×

Problem Loading...

Note Loading...

Set Loading...