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Chapter 11: Q.280 (page 1157)

Find the equation of the parabolic arch formed in the foundation of the bridge shown write the equation in standard form

Short Answer

Expert verified

The equation of the parabolic arch can be given asy=-120(x-10)2+5

Step by step solution

01

Given information

We are given a bridge

02

We plot the parabola on the graph

The graph looks like

03

Identify the vertex

The vertex can be given as(10,5)

04

Substitute this values in the standard equation

We get,

y=a(x-10)2+5

05

To find the value of a we put (x,y)=(0,0)

We get,

0=a(0-10)5+5 a(100)=-5a=-5100a=-120

06

Substitute the value in the standard equation 

We have,

y=-120(x-10)2+5

07

Conclusion

The equation of parabolic arch isy=-120(x-10)2+5

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