Why isn't the answer to TMUA-P1-MM8-017 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM8-017 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM8-017?

No — calculators are banned in the TMUA. TMUA-P1-MM8-017 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-MM8-017?

TMUA-P1-MM8-017 is Paper P1 · Graphs of functions (specification code MM8), level 2. Drill more of the same topic from this page.

TMUA-P1-MM8-017 — Paper P1 · Graphs of functions · Level 2

P1MM8Level 2~150s target

Spec: MM8 · No calculator · ~150s

How is the graph of

y = f(x-3)

obtained from

y = f(x)

Options

Shift left by $3$
Shift up by $3$
Shift right by $3$
Shift down by $3$

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, horizontal-shift. Name the trap first, work the stem by hand, then open the solution below.

Show solution

f(x-3) = 0

when

f

was zero at

x + 3

, so each point moves

3

right and the correct is C. Trap: shifting left is

y = f(x+3)

, with the opposite sign.

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 →
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-MM8-004

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 →

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-MM8-017 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions

TMUA-P1-MM8-017 — Paper P1 · Graphs of functions · Level 2

Options

Keep practising

Master Graphs of functions