## v.s 3 years ago What is the maximum vertical distance between the line y = x + 72 and the parabola y = x2 for −8 ≤ x ≤ 9?What is the maximum vertical distance between the line y = x + 72 and the parabola y = x^2 for −8 ≤ x ≤ 9?

• This Question is Open
1. galanh

distance definition: $d =\sqrt{(x1-x2 )^{2}+(y1-y2)^{2}}$ $y1=x+72$ $y2=x^{2}$ $d=x+72-x^{2}$ $d(-8)=0$ $d(-9)=18$ Maximum distance in [-8,-9] is 18 Attached is a graph