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Analyse a cubic graph or determine its rule

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
rule-to-features, the transformed-cube form y=a(x-h)^3+k, graphrule-to-features, the factorised form with three distinct linear factors, graphrule-to-features, the expanded coefficient form, then factorise it, graphNOWMix of allRecommended
Question 1 of 8

No calculator

Read the cubic rule, then state its intercept and inflection information exactly

The cubic rule is \(P(x)=-2(x+1)^3+16\)

Use exact values. A horizontal-axis intercept is a value of x for which \(P(x)=0\)

For a numerical check, evaluate the displayed rule at \(x=0\)

(a)1 mark

Which graph is consistent with the displayed cubic rule?

(b)2 marks

Enter the coordinates of the stationary point of inflection

(c)1 mark

Evaluate the displayed cubic rule at \(x=0\)