You can put this solution on YOUR website! Draw the graph of the polynomial f(x) = x^2 - 2x -8
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Vertex occurs at x = -b/(2a) = 2/(2) = 1
f(1) = 1-2-8 = -9
Plot the vertex at (1,-9)
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Y-intercept is (0,-8)
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From the form of the equation you can see the parabola opens upward.
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Plot the vertex and the y-intercept and draw the parabola.
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Or you can plot a few points on either side of the vertex
to see how the curve rises above the vertex.
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Cheers,
Stan H.