#### Parabola.

1.1.
a = 0
b = 1,8
c = 1
d = 1,2
e = 1,6
f = 28,8
g = 2,6
h = 3
1.2.1.1
1,4 s
1.2.1.2
2,83 s
1.2.2.1
20 m
1.2.2.2
28,8 m
1.3
34 m   ;   33,8 m     - the answers compare well.
1.4
It has a parabolic form.
distance
1.5
No. The rate     ---------------     does not remain constant    -    The graph is not a straight line.
time
2.1.
The stone that is thrown because it has the greater speed and therefore
it will moves farther in the same time.
2.2
ff - it moved the smallest distance in the same time.
2.3
1,2 seconds for the stone that is thrown; at point B
and 1,4 seconds for the stone that falls : at point A
2.4
16,2 m for the stone that falls free, at point C and 19,8 m for the stone that is thrown,
at point D.
2.5
The stone that is thrown - 2,6 seconds.
distance
2.6
No. The rate     ---------------     does not remain constant    -    The graph is not a straight line.
time 3.1
a = 0,75
b = 3
c = 2,4
d = 3
e = 9,72
f = 4
3.2
No. Area is directly proportional
to the diameter squared.
3.3
The graph will have a parabolic form
because
area = cons X diameter squared
and cons = constant = pi/4 = 0,785398....
3.4
See the accompanying graph.
3.5
Yes
3.6.1
12 ; A
3.6.2
1,8 ; B
3.6.3
7,68 ; C
3.6.4
2,4 ; Q
3.6.5
1,69 ; P
3.7
The read off values compare well to the calculated values. 4.1.1
0,75
4.1.2
0,31
4.1.3
3,2
4.2
Use the formula
4.3
See the accompanying graph.
4.4.1
0,8
4.4.2
1,6
4.4.3
0,6 and 1,0
4.4.4
0,4
4.4.5
0,1 and 1,5
5.1.1
C(-2 ; -5)    and    D(2 ; -5)
5.2.1.1
A(-3 ; 0)    and    B(3 ; 0)
5.2.1.2
C(-2 ; -5)    and    D(2 ; -5)
5.3.1
AO = 3
5.3.2
OM = 5
5.3.3
AB = 6
5.3.4
PQ = 8,72
5.3.5
MN = 15
5.3.6
NQ = 4,36
5.4
y = 10
6.1
(-2 ; 0) and (2 ; 0)
6.2
x = -2 and x = 2
6.3
x = -2 and x = 2
6.4.1
x = -2 and x = 2
6.4.2
x < -2   or   x > 2
6.4.3
x = -2   and   x = 2
6.5
-2   <   x   <   2
6.6.1
x = -2   and   x = 2
6.6.2
-2   <   x   <   2
6.6.3
x < -2   or   x > 2
7.1
A(0 ; 2)      B(-2 ; 6)      C(4 ; 18)
7.2
BS = 2      PT = 3      PQ = 6
7.3
PTS    y = 11
7.4
V(0 ; 18)      T(0 ; 11)      S(0 ; 6)
7.5
AS = 4      TS = 5      VA = 16
7.6
PS = 5,831      QA = 9,487
7.7
no solution because the graph does not intersect the x-axis, i.e. y can not be equal to 0.
8.1
A(-5 ; 0)      B(5 ; 0)      C(0 ; 25)
8.2
L(0 ; 8,19)      LD = 4,1
8.3
G(2,828 ; 17)      MG = 2,828
8.4
E(-6,5 ; -17,25)      F(6,5 ; -17,25)      LD = 4,1
8.5
CO = 25    ML = 8,81    CN = 42,25    MN = 34,25
8.6
AN = 17,960      LG = 9,253
8.7
x = -5    en    x = 5
8.8.1
x = -5   en   x = 5
8.8.2
x = -6,5   en x = 6,5
8.8.3
x = -6,5   en x = 6,5
8.9.1
-5   <   x   <   5
8.9.2
-6,5  <   x   <   6,5
8.9.3
x < -4,1   of   x > 4,1