Question

The parabola occurs frequently in nature. The path traced out by kicking a ball is parabolic.
A parabola of the form y = a
+ c has a number of features:
(a) The curve is symmetrical about its axis of symmetry.
(b) The axis of symmetry passes through a turning point called the vertex.
(c) If the value of a < 0, then the curve faces downwards and the curve has maximum turning
point.
(d) If the value of a > 0, then the curve faces upwards and the curve has minimum turning
TLS/Math/Cl-X/PT/June/ 2021-22
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point.
On the basis of the above information, answer any four of the following questions:
a)
b)
c)
d)
y =

is an example of a parabola of the form y = a
+ c. The value of a in this case is
(i) 1 (ii) 0 (iii) 2 (iv) –1
The equation of the axis of symmetry of y =

is
(i) y = 0 (ii) x = 0 (iii) y = 1 (iv) x = 1
The vertex of y =

is
(i) (1, 1) (ii) (0,0) (iii) (0,1) (iv) (1,0

Answer 1

Answer:

and then it is wrapped by a belt and covered with molten wax