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Chapter 11: Q.272 (page 1156)

In the following exercise graph each equation by using its properties:

x=2y2

Short Answer

Expert verified

The graph of parabola can be given as

Step by step solution

01

Given information

We are given a equationx=2y2

02

Find whether the parabola opens right or left

As the coefficient of square term is negative the parabola opens to the Right

03

Find the axis of symmetry

The axis of symmetry can be given as y=-b2a

Substituting the values we get

y=-0-2y=0

04

Find the vertex of parabola

To find vertex put y=0in the parabola equation

role="math" localid="1645503997034" x=2(0)2x=0

The vertex is(0,0)

05

Find y-intercept

Put x=0

We get,

0=2y2y=0

06

Find x-intercept

Put y=0

we get,

x=0

07

plot the graph

The graph can be given as

08

Conclusion

The graph of parabola can be given as

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