Chapter 11: Q.275 (page 1156)

In the following exercise graph each equation by using its properties: $x = - 3 y^{2}$

Short Answer

Expert verified

The graph of the parabola can be given as

Step by step solution

Given information

We are given a equation $x = - 3 y^{2}$

Find whether the parabola open to the Right or Left

As the coefficient of the square terms is negative the parabola opens to the Left

Find the axis of symmetry

TO find the axis of symmetry put $y = - \frac{b}{2 a} y = - \frac{0}{- 3} y = 0$

find the vertex

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

we get

$x = 0$

The vertex is $(0, 0)$

Find x-intercept

Put $y = 0$

we get,

$x = 0$

Find the y-intercept

Put $x = 0$

we get,

$y = 0$

Plot the graph

The graph can be given as

Conclusion

The graph can be given as

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In the following exercise graph each equation by using its properties: $x = - 3 y^{2}$

Short Answer

Step by step solution

Given information

Find whether the parabola open to the Right or Left

Find the axis of symmetry

find the vertex

Find x-intercept

Find the y-intercept

Plot the graph

Conclusion

One App. One Place for Learning.

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In the following exercise graph each equation by using its properties: x=-3y2

Short Answer

Step by step solution

Given information

Find whether the parabola open to the Right or Left

Find the axis of symmetry

find the vertex

Find x-intercept

Find the y-intercept

Plot the graph

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Discrete Mathematics

Calculus

Probability and Statistics

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

In the following exercise graph each equation by using its properties: $x = - 3 y^{2}$