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QLDMath MethodsQuick questions
Unit 1: Algebra, statistics and functions
Quick questions on Functions and graphs: QCE Math Methods Unit 1 Year 11
8short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is polynomial?Show answer
Degree $n$ polynomial has up to $n - 1$ turning points.
What is translation in $y$?Show answer
$y = f(x) + k$ shifts up by $k$.
What is translation in $x$?Show answer
$y = f(x - h)$ shifts right by $h$.
What is dilation in $y$?Show answer
$y = af(x)$ stretches vertically by factor $a$.
What is dilation in $x$?Show answer
$y = f(bx)$ compresses horizontally by factor $1/b$.
What is translation sign error?Show answer
$f(x - h)$ shifts right by $h$, not left.
What is wrong transformation order?Show answer
Apply inside-the-bracket first (operations on $x$), then outside (operations on $y$).
What is forgetting asymptotes?Show answer
Exponentials have horizontal asymptotes; logs have vertical asymptotes. Mark them.