A parabola in the coordinate geometry plane is represented by the equation $$y = x^2 + k,$$ where $$k$$ is a constant

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A parabola in the coordinate geometry plane is represented by the equation $$y = x^2 + k,$$ where $$k$$ is a constant

by M7MBA » Sun Apr 11, 2021 12:17 pm

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A parabola in the coordinate geometry plane is represented by the equation $$y = x^2 + k,$$ where $$k$$ is a constant greater than $$0.$$ Line $$L$$ intersects this parabola at exactly one point. Is this point of intersection in Quadrant $$I?$$

(1) The slope of line $$L$$ is positive.

(2) $$x$$ is greater than $$0.$$