Posted by Johnny on Friday, October 15, 2010 at 9:38am.
several ways to do this.
quickest way:
the x of the vertex is -b/(2a)
= -(-40)/8 = 5
sub back into equation
y = 4(25) -40(5) + 96 = -4
vertex (5,-4)
calculus way:
dy/dx = 8x - 40 = 0
x = 5
proceed as above
completing the square:
y = 4x^2 - 40x + 96
= 4(x^2 - 10x + 25 - 25 + 96
= 4((x-5)^2 - 25) + 96
= 4(x-5)^2 - 100 + 96
=4(x-5)^2 - 4
Related Questions
Math- Algebra 2 - write in vertex form (by completing the square)y=4x2+40x+96
Math- Algebra 2 - write in vertex form (by completing the square)y=4x2+40x+96
Math - Find the vertex of the parabola. y = -4x2 - 16x - 11
math - Find the vertex of the parabola. y = -4x2 - 16x - 11
algebra - Identify the vertex and axis of symetry of the parabola. Identify ...
math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...
algebra - 6. Find the equation of each parabola described below. a) parabola ...
math - A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) ...
Algebra Word Problem Help - A gardener has 40 feet of fencing with which to ...
Algebra Word Problem Help - A gardener has 40 feet of fencing with which to ...
For Further Reading
