Question 76458: I really need some help - my assignment is due tomorrow night and I have about 6 more problems. Here is one, if someone can help me:
for the function of y = x2 - 6x + 8 what is the equation for the line of symmetry for the graph of this function.
Any help will be so appreciated.
Thanks
Answer by scott8148(6628)   (Show Source):
You can put this solution on YOUR website! if you set y equal to zero and factor the resulting quadratic equation, you get (x-4)(x-2)=0
this means that when y=0, x=2 and x=4 (these are the x intercepts)
the graph of this function is a parabola, opening upward, with the axis of symmetry parallel to the y-axis
the parabola crosses the x-axis at two points, and the axis of symmetry is midway between them at x=3
x=3 IS the equation for the axis of symmetry
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