Question

1. Complete the table below for the function y = 6 + x – x².         

   x	−4	−3	−2	−1	0	1	2	3	4	5
   y	−14				6		4		−6

2. On the grid provided below, draw the graph of y = 6 + x – x² for −4 ≤ x ≤ 5.      (3marks )
3. On the same axes draw the graph of y = 2 – 2x.      
4. From the graphs, find the values of x which satisfy the simultaneous equations.
   y = 6 + x – x²
   y = 2 – 2x.                        
5. Write down and simplify a quadratic equation in the form ax2 + bx + c = 0 which is satisfied by the values of x where the two graphs intersect. 

Answer 1

1.  

   x	−4	−3	−2	−1	0	1	2	3	4	5
   y	−14	−6	0	4	6	6	4	0	−6	−14

2. Graph
3. 
   
4. x = −1 or x = 4            
5. (x + 1 ) ( x – 4) = 0           
   x² – 4x + x – 4 = 0
   x² – 3x –  4 =0