Chapter 11: Q.272 (page 1156)

In the following exercise graph each equation by using its properties:
$x = 2 y^{2}$

Short Answer

Expert verified

The graph of parabola can be given as

Step by step solution

Given information

We are given a equation $x = 2 y^{2}$

Find whether the parabola opens right or left

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

Find the axis of symmetry

The axis of symmetry can be given as $y = - \frac{b}{2 a}$

Substituting the values we get

$y = - \frac{0}{- 2} y = 0$

Find the vertex of parabola

To find vertex put $y = 0$ in the parabola equation

role="math" localid="1645503997034" $x = 2 {(0)}^{2} x = 0$

The vertex is $(0, 0)$

Find y-intercept

Put $x = 0$

We get,

$0 = 2 y^{2} y = 0$

Find x-intercept

Put $y = 0$

we get,

$x = 0$

plot the graph

The graph can be given as

Conclusion

The graph of parabola can be given as

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In the following exercise graph each equation by using its properties:
$x = 2 y^{2}$

Short Answer

Step by step solution

Given information

Find whether the parabola opens right or left

Find the axis of symmetry

Find the vertex of parabola

Find y-intercept

Find x-intercept

plot the graph

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercise graph each equation by using its properties:x=2y2

Short Answer

Step by step solution

Given information

Find whether the parabola opens right or left

Find the axis of symmetry

Find the vertex of parabola

Find y-intercept

Find x-intercept

plot the graph

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Probability and Statistics

Calculus

Geometry

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercise graph each equation by using its properties:
$x = 2 y^{2}$