SOLUTION: a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex b)make a table of values that includes the vertex c)use this information to graph the

Algebra ->  Rational-functions -> SOLUTION: a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex b)make a table of values that includes the vertex c)use this information to graph the      Log On


   



Question 181666This question is from textbook Algebra 2
: a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex
b)make a table of values that includes the vertex
c)use this information to graph the function
6. f(x)= -3x^2+6x
This question is from textbook Algebra 2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
6. f(x)= -3x^2+6x
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a) find the y-int., the equation of the axis of symmetry, and the x-coordinate of the vertex
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y-intercept: Let x = 0, then y = 0
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vertex: x = -b/2a = -6/(2*-3)) = 1; f(1)=-3 + 6 = 3
Vertex is (1,3)
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axis of symmetry: x = 1
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b)make a table of values that includes the vertex
(-1,-9),(0.0),(1,3),(2,0),(3,-9
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c)use this information to graph the function
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-3x%5E2%2B6x%29
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Cheers,
Stan H.