SOLUTION: Identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry). y = -x^2 + 6x - 2 Thank You!

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry). y = -x^2 + 6x - 2 Thank You!      Log On


   



Question 47739: Identify the axis of symmetry, create a suitable
table of values, and sketch the graph (including the axis of symmetry).

y = -x^2 + 6x - 2
Thank You!

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Identify the axis of symmetry, create a suitable
table of values, and sketch the graph (including the axis of symmetry).
y = -x^2 + 6x - 2 =-{X^2-2*X*3+3^2-3^2}-2=-(X-3)^2-2
HENCE AXIS OF SYMMETRY IS X-3=0...OR...X=3
X........0.....1........2...........3...........4..........5..........6...ETC
Y........-11...-6.......-3..........-2..........-3.........-6.........-11...ETC
+graph%28+600%2C+600%2C+-20%2C+20%2C+-20%2C+20%2C-x%5E2%2B6%2Ax-2%2C100000%2A%28x-3%29%29+