2025HSCShort answer

Q11 (b)

1 mark

Question

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

The graph shows $h=12$ when $t=0$ .

What is the other value of $t$ for which $h=12$ ?

[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.b; requires human review and cropping — Reviewed visual · source page 10

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Solution

Criteria	Marks
Provides correct answer	1

Sample answer:

t=4+4=8\quad\text{using axis of symmetry}

\therefore\ t=8

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Syllabus alignment

Functions

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

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