A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does intersect the parabola at two distinct points.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter11: Conics
Section11.2: Parabolas
Problem 96E: Is the parabola y=x2 a function? Is the parabola x=y2 a function? Explain why or why not.
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A parabola is given by the equation y = x^2 - 4x + 6. Find k so the line of equation y = 2x - k does intersect the
parabola at two distinct points.

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