SOLUTION: Can you create a graph of a quadratic equation that has a negative discriminant?

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Question 1032102: Can you create a graph of a quadratic equation that has a negative discriminant?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Here is an example.
y=%28x%2B5%29%5E2 would have just the vertex touching the x axis and the point is (-5,0).

y=%28x%2B5%29%5E2%2B1%2F4 has NO zeros and the vertex neither will touch the x-axis, this point being (-5,(1/4)). What is the discriminant of this graph and equation?
y=x%5E2%2B10x%2B25%2B1%2F4
y=x%5E2%2B10x%2B25%261%2F4
Discriminant %2810%29%5E2-4%2A1%2A%2825%261%2F4%29%29
100-101
-1----------a negative number.