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VICMath MethodsQuick questions
Unit 1: Functions, relations and graphs
Quick questions on Quadratic functions and parabolas (VCE Maths Methods Unit 1)
6short 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 standard form?Show answer
$y = ax^2 + bx + c$. Coefficient $a$ controls opening (up if $a > 0$, down if $a < 0$) and steepness. $c$ is the $y$-intercept.
What is factored form?Show answer
$y = a(x - p)(x - q)$. Roots are at $x = p$ and $x = q$. Useful when roots are known.
What is turning-point form?Show answer
$y = a(x - h)^2 + k$. Vertex at $(h, k)$. Axis of symmetry $x = h$.
What is sign of $b$ in $x_v = -b/ $?Show answer
A common slip is to forget the minus sign.
What is mixing up $a$ with the leading coefficient?Show answer
In $y = a(x - h)^2 + k$, $a$ is the same coefficient as in standard form $a x^2 + bx + c$.
What is treating no-real-roots as no solution?Show answer
The quadratic has complex roots; they just do not appear on the real-number axis.
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