Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Secondary 3

Consider \(y=-(x-2)^2+5.\)

  1. For which values of \(c\) does the line \(y=c\) meet the graph at two points, one point or no points?

  2. Find the intersection points when \(c=1\).

Solution:

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Answer:(a) Two intersections if \(c<5\), One if \(c=5\), None if \(c>5\); (b) For \(c=1\): \((0,1),(4,1)\).

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