maximum point of the curve

**mastermin346** · July 21st 2010, 10:40 PM

The curve $y=-2x^2+8x-3$ has a maximum point at $x=p$ ,where $p$ is constant.Find the value of $p$

**HallsofIvy** · July 21st 2010, 11:10 PM

Originally Posted by mastermin346

The curve $y=-2x^2+8x-3$ has a maximum point at $x=p$ ,where $p$ is constant.Find the value of $p$

A parabola opening downward has its maximum value at the vertex- and you can get that by completing the square:
$-2x^2+ 8x- 3= -2(x^2- 4x)- 3= -2(x^2- 4x+ 4- 4)- 3$
$= -2(x^2- 4x+ 4)+ 8- 3= -2(x- 2)^2+ 5$

Since a square is never negative, that will be largest when x-2= 0.

Thread: maximum point of the curve

LinkBack

Thread Tools

Display

maximum point of the curve

Similar Math Help Forum Discussions

[SOLVED] Find maximum point of curve graph

Curve's point A tangent line passes through a point P. What is the distance of AP

maximum point

maximum and minimum point

Hyperbolic maximum turning point

Search Tags