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 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)
The diagram given below shows a parabola described by the equation y =

– 7x + 10. The
parabola intersects the x-axis at points A and B. Find the x-coordinates of points A and B.
(i) 2 and 5 (ii) 3 and 6
(iii) 2 and 4 (iv) 3 and 5

e) Which of these points lie on the given parabola,


(i) A (2,4) (ii) B (–2,2)
(iii) C (0.5, 0.5) (iv) D (–2.5, 6.5)

Answer 1

Answer:

yes I will be there at me and I will