Analysis and Approaches for IBDP Maths Ebook 1 | Page 18

Your Practice Set – Analysis and Approaches for IBDP Mathematics
3. Let f ( x) � a( x � p)( x � q)
.
The graph of f( x ) passes through the points (5, 0) , (10, � 7.5) and (11, 0) .
(a) Write down the value of p and of q .
(b) Write down the equation of the axis of symmetry.
(c) Find the value of a .
[2]
[1]
[3]
4. Let f ( x) � a( p � x)( x � q)
.
The graph of f( x ) passes through the origin, (15, 30) and (18, 0) .
(a) Write down the value of p and of q .
(b) Write down the equation of the axis of symmetry.
(c) Find the value of a .
[2]
[1]
[3]
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