IB Maths AA SL AA 2.1 practice question

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]