## Applications of Parabolas: Highway Overpasses/ Underpasses A highway underpass is parabolic in shape.

##
Parabola A parabola is the graph that results from p(x) = ax
^{
2
}
+ bx + c. Parabolas are symmetric about a vertical line known as the Axis of Symmetry. The Axis of Symmetry runs through the maximum or minimum point of the parabola which is called the vertex.

##
**
Question 1
**

##
If the highway overpass is represented by x
^{
2
}
– 2x – 8. Then its zeroes are

## (a) (2, – 4)

## (b) (4, – 2)

## (c) (– 2, – 2)

## (d) (– 4, – 4)

##
**
Question 2
**

## The highway overpass is represented graphically. Zeroes of a polynomial can be expressed graphically. Number of zeroes of polynomial is equal to number of points where the graph of polynomial:

## (a) Intersects X-axis

## (b) Intersects Y-axis

## (c) Intersects Y-axis or X-axis

## (d) None of the above

##
**
Question 3
**

## Graph of a quadratic polynomial is a:

## (a) straight line

## (b) circle

## (c) parabola

## (d) ellipse

##
**
Question 4
**

## The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is:

##
(a) x
^{
2
}
– 6x + 2

##
(b) x
^{
2
}
– 36

##
(c) x
^{
2
}
– 6

##
(d) x
^{
2
}
– 3

##
**
Question 5
**

##
The number of zeroes that polynomial f(x) = (x – 2)
^{
2
}
+ 4 can have is:

## (a) 1

## (b) 2

## (c) 0

## (d) 3