Year 11 Maths Advanced MAV-11-03 Checkpoint 1

Checkpoint Quiz 1

This checkpoint covers Translations, Reflections, and Dilations of Functions (Lessons 1–3).

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Quick Review

Translations: $y = f(x) + k$ shifts the graph vertically ($k > 0$ up, $k < 0$ down, changes the range but not the domain); $y = f(x - h)$ shifts the graph horizontally ($h > 0$ right, $h < 0$ left, changes the domain but not the range).
Reflections: $y = -f(x)$ reflects in the $x$-axis, so $(x, y) \to (x, -y)$; $y = f(-x)$ reflects in the $y$-axis, so $(x, y) \to (-x, y)$.
Dilations: $y = af(x)$ is a vertical dilation by factor $a$ from the $x$-axis ($a > 1$ stretch, $0 < a < 1$ compress); $y = f(bx)$ is a horizontal dilation by factor $\dfrac{1}{b}$ from the $y$-axis ($b > 1$ compresses, $0 < b < 1$ stretches).
Reading the rule: A constant added or multiplied outside the function changes $y$-values; a constant added or multiplied inside the function changes $x$-values, and horizontal effects are often the opposite of what the sign suggests.

5 random questions from the Checkpoint 1 bank, feedback shown immediately

Great work finishing Checkpoint 1.

If you struggled with any questions, go back to Lessons 1–3 to review the concepts before moving on.

Tick when you're ready to continue to Lesson 4.