2025HSCShort answer

Q11 (a)

2 marks

Question

The graph of a quadratic function represented by the equation $h=t^2-8t+12$ is shown.

Find the values of $t$ and $h$ at the turning point of the graph.

[Visual: A graph of the parabola $h=t^2-8t+12$ , with $h$ on the vertical axis and $t$ on the horizontal axis. The graph crosses the $t$ -axis at $t=2$ and $t=6$ , and the $h$ -axis at $h=12$ .]

Uncropped source page 10 for question 11.a; requires human review and cropping — Reviewed visual · source page 10

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Solution

Criteria	Marks
Provides correct answer	2
Finds correct value of $t$ , or equivalent merit	1

Sample answer:

\begin{aligned} t&=\frac{6+2}{2}\\ &=4\\ h&=4^2-8\times4+12\\ &=-4 \end{aligned}

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Syllabus alignment

Functions

Working with FunctionsApply the 2017 Mathematics Advanced syllabus content for working with functions.

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