Grade 11 Tutorials - Maths Excellence

q
y = = .
x
2.5 Write down the equations of the axes of symmetry of g( x)
2.6 CDE is a line perpendicular to the x -axis. Calculate the distance CE if the distance OD = 2 units.
2.7 Describe in words the difference in the shape and position on a system of axes, of the graphs of
− x
− x
y = 2 , y = 2 . 2 and y = 2 − x + 1
2.8 Calculate the average gradient of each of the graphs in 2.7 between the points where:
2.8.1 x = −1
and x = 0 and
2.8.2 x = 0 and x = 1.
2.9 Do your results in 2.8 support any of the differences you mentioned in 2.7? Why or why not?
Question 3
Sketched below are graphs of p ( x) = 2x
2 − x − 3 and q ( x) = −2 x + 3
D
^y
F
A
G
O
E
>x
H
B
C
3.1 Calculate the distance AB.
3.2 Determine the co-ordinates of C, the turning point of the parabola.
3.3 Calculate the co-ordinates of D and E, the points of intersection of the two graphs.
3.4 Calculate the maximum length of FH between D and E where F lies on the straight line, H lies on the
parabola and FH is parallel to the y -axis.
Grade 11 - 7 - Tutorials