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 $y = {ax}^{2} + bx + c$ form.

Short Answer

Expert verified

The form of the equation is parabola.

Step by step solution

Step 1. Given Information

Given that the figure can be shown as,

Step 2. Form of the equation

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

Step 3. Standard form

On comparing the equation with standard form,

$y = a {(x - h)}^{2} + k y = a {(x - 15)}^{2} + 10 0 = a {(0 - 15)}^{2} + 10 a = \frac{- 10}{225} = \frac{- 2}{45}$

On substituting this value in the equation,

$y = \frac{- 2}{45} {(x - 15)}^{2} + 10 y = \frac{- 2}{45} x^{2} - \frac{4}{3} x + 0 .$

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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Create the equation of the parabolic arch formed in the foundation of the bridge shown. Give the answer in $y = {ax}^{2} + bx + c$ form.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Form of the equation

Step 3. Standard form

Step 4. Graph of the parabola

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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

Step by step solution

Step 1. Given Information

Step 2. Form of the equation

Step 3. Standard form

Step 4. Graph of the parabola

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Probability and Statistics

Theoretical and Mathematical Physics

Pure Maths

Logic and Functions

Decision Maths

Study anywhere. Anytime. Across all devices.

Create the equation of the parabolic arch formed in the foundation of the bridge shown. Give the answer in $y = {ax}^{2} + bx + c$ form.