Why isn't the answer to TMUA-P1-MM8-016 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM8-016 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM8-016?

No — calculators are banned in the TMUA. TMUA-P1-MM8-016 is set for a no-calculator target of about 150 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MM8-016?

TMUA-P1-MM8-016 is Paper P1 · Graphs of functions (specification code MM8), level 2. Drill more of the same topic from this page.

TMUA-P1-MM8-016 — Paper P1 · Graphs of functions · Level 2

P1MM8Level 2~150s target

Spec: MM8 · No calculator · ~150s

How is the graph of

y = -f(x)

obtained from

y = f(x)

Options

Reflection in the $x$ -axis
Reflection in the $y$ -axis
Reflection in $y = x$
Rotation about the origin

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: graph-reflection, negation-transformation. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Negating

y

flips the graph vertically, a reflection in the

x

-axis, so the correct is A. Trap: reflection in the

y

-axis is

y = f(-x)

, negating the input instead.

Keep practising

Same topic · same level
P1MM8Level 2
TMUA-P1-MM8-004
How is the graph of y = f(x) + 2 obtained from the graph of y = f(x)?
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Step up a level
P1MM8Level 3
TMUA-P1-MM8-009
Which statement correctly describes the stationary points of y = x^3 - 3x^2?
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P1MM8Level 2
TMUA-P1-MM8-005
Let f(x) = 2x + 1 and g(x) = x^2. What is the value of f(g(3))?
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Open TMUA-P1-MM8-005 →

Browse more

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Keep practising

Same topic · same level

P1MM8Level 2

TMUA-P1-MM8-004

How is the graph of y = f(x) + 2 obtained from the graph of y = f(x)?

Graphs of functions

Open TMUA-P1-MM8-004 →

Step up a level

P1MM8Level 3

TMUA-P1-MM8-009

Which statement correctly describes the stationary points of y = x^3 - 3x^2?

Graphs of functions

Open TMUA-P1-MM8-009 →

TMUA-P1-MM8-016 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions

TMUA-P1-MM8-016 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions