SOLUTION: can you please help me solve the following: (((How many x-intercepts the parabola has and wheather its vertex lies above or below or on the x-axis, y=-x^2+2x-1)))

Question 180348This question is from textbook algebra structure and method
: can you please help me solve the following: (((How many x-intercepts the parabola has and wheather its vertex lies above or below or on the x-axis, y=-x^2+2x-1))) This question is from textbook algebra structure and method

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
can you please help me solve the following: How many x-intercepts the parabola has and wheather its vertex lies above or below or on the x-axis, y=-x^2+2x-1
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Discriminant: b^2-4ac
D = 2^2 - 4*-1*-1 = 4 - 4 = 0
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Since D = 0 there are two x-intercepts, but they are both the same.
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Since a < 0 the parabola opens down.
The vertex is on the x-axis:

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Cheers,
Stan H.
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