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.

Paper

Paper 1, no calculator Paper 2, calculator

Difficulty

Easy Medium Hard

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]