SOLUTION: Determine the vertex of the given equation. Parabolas. y = -x2 + 5x - 6 Can you help me please!

Algebra ->  Equations -> SOLUTION: Determine the vertex of the given equation. Parabolas. y = -x2 + 5x - 6 Can you help me please!      Log On


   

Question 453215: Determine the vertex of the given equation. Parabolas.
y = -x2 + 5x - 6
Can you help me please!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The general form of a parabola is given by the equation:
y=Ax%5E2+%2B+Bx+%2B+C++where A, B, and C are arbitrary real+constants.
The vertex is at: (+-B%2F2A+, C+-+B%5E2%2F4A )
you are given:
y+=+-x%5E2+%2B+5x+-+6 which is already in general form of a parabola
so, A=-1, B=5, and C=-6
now find the coordinates of the vertex:

(+-B%2F2A+, C+-+B%5E2%2F4A )

+-B%2F2A=-5%2F2%28-1%29=-5%2F-2=5%2F2=2.5+,
C+-+B%5E2%2F4A=%28-6%29-25%2F4%28-1%29=-6%2B25%2F4=-6%2B6.25=0.25
so, the vertex is at: (2.5,0.25)

+graph%28+500%2C+500%2C+-5%2C+5%2C+-5%2C+5%2C+-x%5E2+%2B+5x+-+6%29+