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QLDMath MethodsQuick questions
Unit 1: Algebra, statistics and functions
Quick questions on Linear and quadratic functions (QCE Math Methods Unit 1)
13short 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 form?Show answer
$y = mx + c$. Gradient $m$, $y$-intercept $c$.
What is gradient from two points?Show answer
$m = (y_2 - y_1)/(x_2 - x_1)$.
What is point-slope form?Show answer
$y - y_1 = m(x - x_1)$.
What is parallel and perpendicular?Show answer
$m_1 = m_2$ for parallel; $m_1 m_2 = -1$ for perpendicular.
What is inequalities?Show answer
Solve as equations, but reverse the sign when multiplying or dividing by a negative.
What is standard form?Show answer
$y = ax^2 + bx + c$.
What is factored form?Show answer
$y = a(x - p)(x - q)$. Roots at $p$ and $q$.
What is vertex form?Show answer
$y = a(x - h)^2 + k$. Vertex at $(h, k)$.
What is vertex from standard form?Show answer
$x_v = -b/(2a)$. $y_v = c - b^2/(4a)$.
What is sign on $-b/ $?Show answer
Common slip is to drop the minus.
What is vertex form sign of $h$?Show answer
$(x - 3)^2$ has $h = 3$, not $-3$.
What is confusing $a$ with leading coefficient?Show answer
Always same in standard and vertex forms.
What is quadratic-formula sign error?Show answer
The denominator is $2a$ for the whole expression.