Quadratic Models (VCE SSCE Mathematical Methods): Quizzes

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Quadratic models
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Which is a common application of quadratic models?

Maximising area with limited materials

If a quadratic has a negative leading coefficient, what does the vertex represent?

A maximum value

With 20m fencing for 3 sides, if length is xx, what is the width?

10x210 - \frac{x}{2}

In Jenny's fencing problem with 20m of wire, what is the maximum area she can enclose?

50 m²

What is the main benefit of completing the square for optimization problems?

It reveals the optimal value directly

How many data points are needed to determine a unique quadratic equation?

Three points

Which form is y=a(xh)2+ky = a(x - h)^2 + k?

Vertex form

For y=ax2+bx+cy = ax^2 + bx + c, at what xx-value does the max/min occur?

x=b2ax = -\frac{b}{2a}

What does the vertex (h,k)(h, k) in vertex form reveal?

The max or min value directly

What should you always include when interpreting quadratic model results?

Variables, units, and context

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