Apps. and Interpretation for IBDP Maths Ebook 1 | Page 113

4. The graph of the quadratic function
2
f ( x) � 2x � 4x
� 16 passes through A( a , 0) ,
B( b , 0) and C(0, c ) , where a� b. V( hk , ) is the vertex of the graph.
(a) Find the values of a and b .
(b) Write down the value of c .
(c) Write down the values of h and k .
(d)
(e)
Find the gradient of VB.
Find the equation of VB, giving the answer in general form.
The point D( d , 0) lies on the x -axis. Find the value of d if
[3]
[1]
[2]
[2]
[3]
(f) (i) CD � VB ;
(ii)
CD//VB.
[5]
10
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