The center is (-2, 4) and the circle is tangent to the I-axis. (Informaly, a line is tangent to a circde t touches the circie in exactly one point.) a) Write an equation of the circle in standard form. b) Graph the circie. Part 1 of 2 (a) An equation of the cirde in standard form is

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:**

The center is \((-2, 4)\) and the circle is tangent to the X-axis. (Informally, a line is tangent to a circle if it touches the circle in exactly one point.)

(a) Write an equation of the circle in standard form.

(b) Graph the circle.

---

**Part 1 of 2**

(a) An equation of the circle in standard form is □

---

**Part 2 of 2**

(b) Graph the circle.

**Graph Description:**

- The graph is a standard Cartesian coordinate plane with both horizontal (x-axis) and vertical (y-axis) lines marked.
- The x-axis ranges from \(-10\) to \(10\).
- The y-axis also ranges from \(-10\) to \(10\).
- Grid lines are evenly spaced horizontally and vertically.
- There is a toolbar on the right side of the graph with icons for various drawing tools, including shapes like circles, lines, and curves.
Transcribed Image Text:**Problem Statement:** The center is \((-2, 4)\) and the circle is tangent to the X-axis. (Informally, a line is tangent to a circle if it touches the circle in exactly one point.) (a) Write an equation of the circle in standard form. (b) Graph the circle. --- **Part 1 of 2** (a) An equation of the circle in standard form is □ --- **Part 2 of 2** (b) Graph the circle. **Graph Description:** - The graph is a standard Cartesian coordinate plane with both horizontal (x-axis) and vertical (y-axis) lines marked. - The x-axis ranges from \(-10\) to \(10\). - The y-axis also ranges from \(-10\) to \(10\). - Grid lines are evenly spaced horizontally and vertically. - There is a toolbar on the right side of the graph with icons for various drawing tools, including shapes like circles, lines, and curves.
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