## Solution for problem 15 Chapter 1

# A truck carrying a wide load needs to pass through the parabolic tunnel shown. The units

Mathematics for the International Student: Mathematics SL | 3rd Edition

A truck carrying a wide load needs to pass through the parabolic tunnel shown. The units are metres. The truck is \(5 \mathrm{~m}\) high and \(4 \mathrm{~m}\) wide. a) Find the quadratic function which describes the shape of the tunnel. b) Determine whether the truck will fit.

**Accepted Solution**

Step 1 of 2

a) Consider the figure above,

The parabola cuts x-axis at -3 and 3.

We have conjugate (x-3) and (x+3)

Then ,

Parabola passes through (0,8)

So,

The quadratic function which describes the shape of tunnel is

###### Chapter 1, Problem 15 is Solved

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A truck carrying a wide load needs to pass through the parabolic tunnel shown. The units