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Home › TS EAPCET (Engineering) › Mathematics › Quadratic Equation › How does the parabola y = x² − 4x + 5 lie relati…

How does the parabola y = x² − 4x + 5 lie relative to the x-axis?

ALies entirely above it
BCuts it at two points
CLies entirely below it
DTouches it at one point
Answer & Solution
Correct answer: A. Lies entirely above it
The discriminant is 16 − 20 = −4 and a > 0, so the parabola stays above the x-axis.
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