High School Math : Graphing Circle Functions

Study concepts, example questions & explanations for High School Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Graphing Circle Functions

Find the -intercepts for the circle given by the equation:

Possible Answers:

Correct answer:

Explanation:

To find the -intercepts (where the graph crosses the -axis), we must set . This gives us the equation:

Because the left side of the equation is squared, it will always give us a positive answer. Thus if we want to take the root of both sides, we must account for this by setting up two scenarios, one where the value inside of the parentheses is positive and one where it is negative. This gives us the equations:

 and 

We can then solve these two equations to obtain .

Example Question #2 : Graphing Circle Functions

Find the -intercepts for the circle given by the equation:

Possible Answers:

Correct answer:

Explanation:

To find the -intercepts (where the graph crosses the -axis), we must set . This gives us the equation:

Because the left side of the equation is squared, it will always give us a positive answer. Thus if we want to take the root of both sides, we must account for this by setting up two scenarios, one where the value inside of the parentheses is positive and one where it is negative. This gives us the equations:

 and 

We can then solve these two equations to obtain

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: