Question 499336
Factor
(x-6)(x+1) = x^2 +x -6x = 6
 = x^2 -5x -6
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x = 6 or x = -1
These are the x-intercepts:  (0,-1), (0,6).
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The y-intercept occurs where x=0.
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y = x^2 -5x -6
So when x=0, y =-6
(0,-6)
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The axis of symmetry = -b/2a
-b/2a = -(-5)/2 = 2.5
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The line of symmetry will go through the lowest point.
y = (2.5)^2 -5(2.5) -6
y = 6.25 -12.5 -6
y = -12.25
The lowest point will be (2.5, -12.25).
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{{{graph(500,500,-10,10,-20,20,x*x-5*x-6)}}}