SOLUTION: instructions: graph each quadratic function. name the axis of symmetry and the coordinates of the vertex. 1. y=-x^2+7x-2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: instructions: graph each quadratic function. name the axis of symmetry and the coordinates of the vertex. 1. y=-x^2+7x-2      Log On


   



Question 700758: instructions: graph each quadratic function. name the axis of symmetry and the coordinates of the vertex.
1. y=-x^2+7x-2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
graph each quadratic function. name the axis of symmetry and the coordinates of the vertex.
y = -x^2+7x-2
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The 1st coordinate of the vertex and the equation of the axis of symmetry
are x = -b/(2a) = -7/(2*-1) = -7/-2 = 7/2
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The 2nd coordinate of the vertex is f(7/2)
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f(7/2) = -(7/2)^2 + 7(7/2) -2 = -(49/4) + (49/2) - 2
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= (-49 + 98 - 8)/4
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= 41/4
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Vertex: (7/2 , 41/4)
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B7x-2%29
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Cheers,
Stan H.