Why isn't the answer to TMUA-P1-MM8-004 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM8-004 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM8-004?

No — calculators are banned in the TMUA. TMUA-P1-MM8-004 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-MM8-004?

TMUA-P1-MM8-004 is Paper P1 · Graphs of functions (specification code MM8), level 2. Drill more of the same topic from this page.

TMUA-P1-MM8-004 — Paper P1 · Graphs of functions · Level 2

P1MM8Level 2~150s target

Spec: MM8 · No calculator · ~150s

How is the graph of

y = f(x) + 2

obtained from the graph of

y = f(x)

Options

shifted $2$ units right
shifted $2$ units up
shifted $2$ units left
shifted $2$ units down
stretched vertically by factor $2$

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-translation, inside-outside-trap. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Adding a constant outside

f

moves every

y

-value up: the graph shifts

2

units up. Trap: “

2

units right” confuses

f(x) + 2

with

f(x - 2)

— plausible since both involve the number

2

Keep practising

Same topic · same level
P1MM8Level 2
TMUA-P1-MM8-005
Let f(x) = 2x + 1 and g(x) = x^2. What is the value of f(g(3))?
Graphs of functions
Open TMUA-P1-MM8-005 →
Same trap: graph-translation
P1MM8Level 1
TMUA-P1-MM8-012
What is the vertex of the graph y = x^2 + 3?
Graphs of functions
Open TMUA-P1-MM8-012 →
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 →

Browse more

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Keep practising

Same topic · same level

P1MM8Level 2

TMUA-P1-MM8-005

Let f(x) = 2x + 1 and g(x) = x^2. What is the value of f(g(3))?

Graphs of functions

Open TMUA-P1-MM8-005 →

Same trap: graph-translation

P1MM8Level 1

TMUA-P1-MM8-012

What is the vertex of the graph y = x^2 + 3?

Graphs of functions

Open TMUA-P1-MM8-012 →

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-MM8-004 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions

TMUA-P1-MM8-004 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions