Chapter 1 · Graphical Representation of Functions
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Question
In factor form $y = a(x-h)(x-k)$, what four landmarks let you sketch the parabola?
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Answer
The $x$-intercepts $(h,0)$ and $(k,0)$; the vertex at $x=\dfrac{h+k}{2}$; the $y$-intercept $y=ahk$; and the opening direction, upward if $a \gt 0$ and downward if $a \lt 0$.
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