IB Maths AA SL AA 2.1 Lines, functions and graphs questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

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Paper 1, no calculator Paper 2, calculator

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Question 1

Paper 1, no calculatorEasy6 marks

The function $f$ is defined for $x\in\mathbb{R}$ by

f(x)=-(x-2)^2+9.

(a)

State the coordinates of the vertex of the graph of $f$ and the equation of its axis of symmetry.

[2]

(b)

Determine the coordinates of the $x$ -intercepts of the graph of $f$

[2]

(c)

Find the $y$ -intercept of the graph of $f$ and state the maximum value of $f$

[2]

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