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Chapter 11: Q. 348 (page 1161)

Create the equation of the parabolic arch formed in the foundation of the bridge shown. Give the answer in y=ax2+bx+cform.

Short Answer

Expert verified

The form of the equation is parabola.

Step by step solution

01

Step 1. Given Information

Given that the figure can be shown as,

02

Step 2. Form of the equation

The bridge should be built in the shape of parabola. It can be shown as,

03

Step 3. Standard form

On comparing the equation with standard form,

y=a(x-h)2+ky=a(x-15)2+100=a(0-15)2+10a=-10225=-245

On substituting this value in the equation,

y=-245(x-15)2+10 y=-245x2-43x+0.

04

Step 4. Graph of the parabola

The graph of parabola in bridge foundation can be drawn as,

It shows the bottom corner of left at (0,0) and vertex at (15,4) and base at (30,0).

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