Chapter 1: Q. 80 (page 25)

If the graph of an equation is symmetric with respect to the $x$ -axis and $2$ is a $y$ -intercept, name another $y$ -intercept.

Short Answer

Expert verified

The other $y$ -intercept is $- 2$ .

Step by step solution

Given information

The graph of the given equation is symmetric to the $x$ -axis and $y$ -intercept is 2 .

Determine the other y-intercept.

As the $y$ -intercept is $2$ therefore the point $(0, 2)$ is on the axis.

When the graph of an equation is symmetric with respect to the $x$ -axis, then if point $(x, y)$ is on the graph, so is the point $(x, - y)$ .

Therefore, the point $(0, - 2)$ is also on the graph of the equation.

Write the conclusion

The $y$ -intercept is $- 2$ .

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If the graph of an equation is symmetric with respect to the $x$ -axis and $2$ is a $y$ -intercept, name another $y$ -intercept.

Short Answer

Step by step solution

Given information

Determine the other y-intercept.

Write the conclusion

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If the graph of an equation is symmetric with respect to the x-axis and 2is a y-intercept, name another y-intercept.

Short Answer

Step by step solution

Given information

Determine the other y-intercept.

Write the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Discrete Mathematics

Geometry

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

If the graph of an equation is symmetric with respect to the $x$ -axis and $2$ is a $y$ -intercept, name another $y$ -intercept.