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QLD · Math Methods
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§-Quick questions
QLDMath MethodsUnit 1: Algebra, statistics and functions

Quick questions on Linear and quadratic functions (QCE Math Methods Unit 1)

11short 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?
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y=mx+cy = mx + c. Gradient mm, yy-intercept cc.
What are gradient from two points?
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m=(y2−y1)/(x2−x1)m = (y_2 - y_1)/(x_2 - x_1).
What is point-slope form?
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y−y1=m(x−x1)y - y_1 = m(x - x_1).
What is parallel and perpendicular?
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m1=m2m_1 = m_2 for parallel; m1m2=−1m_1 m_2 = -1 for perpendicular.
What are inequalities?
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Solve as equations, but reverse the inequality sign when multiplying or dividing by a negative number.
What is standard form?
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y=ax2+bx+cy = ax^2 + bx + c.
What is factored form?
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y=a(x−p)(x−q)y = a(x - p)(x - q). Roots at pp and qq.
What is vertex form?
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y=a(x−h)2+ky = a(x - h)^2 + k. Vertex at (h,k)(h, k).
What is vertex from standard form?
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xv=−b/(2a)x_v = -b/(2a). yv=c−b2/(4a)y_v = c - b^2/(4a).
What is sign of hh in vertex form?
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(x−3)2(x - 3)^2 has h=3h = 3 (turning point at x=3x = 3), not −3-3.
What is quadratic-formula denominator?
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The whole numerator −b±Δ-b \pm \sqrt{\Delta} is divided by 2a2a, not just one term.

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