Connect and share knowledge within a single location that is structured and easy to search. Okay, so I wasn't sure how to do this so I looked at the answer at the back of the book and decided to graph it. Knowing this made solving the question very easy. What do you mean by "touches" the x-axis? Is tangent to the x-axis? Then since it also crosses the y-axis at the origin, the circle must be tangent to the x-axis at 0, 0 and the y-axis is a diameter. Since it also goes through 0, 6 the circle has center 0, 3 and radius 3.
If it is not a diameter, it does not touch but cut the x-axis. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? If you end up having to take the square root of negative number, this means that there are no y-intercepts. Kathryn White has over 11 years of experience tutoring a range of subjects at the kindergarten through college level.
Her writing reflects her instructional ability as well as her belief in making all concepts understandable and approachable. How to Calculate the Equation of a Line. How to Find Equation of a Parabola. How to Find Equations of Tangent Lines. How to Solve Inequalities With Fractions. How to Solve a Parabola. How to Find the X Intercept of a Function. The x-intercepts are the x-coordinates of the points where the graph crosses the x-axis.
Thus for these points the y-coordinate is zero. On graph paper set up a coordinate system and use a compass to draw the circle with center 2,-4 and radius 3. Look at the points on the graph where is crosses the x- and y-coordinates.
Do they agree with the intercepts you found?
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