This document appears to be a math test containing multiple choice and short answer questions about circles. The questions ask the test taker to identify the center and radius of a given circle equation, write the equation of a circle given its center and radius, convert a quadratic equation into standard form, write the standard equation of a circle given its center and tangency to a line, and write the standard equation of a circle concentric to another circle equation and with a specified radius. The document contains the test taker's name and date but no responses to the questions.

1. Name: Date:
Pinky Faith Catigtig Frejoles Score:
Multiple Choice – Choose the best answer for each question.
1. What are the center and radius of the circle, ( 𝑥 − 7)2
+ ( 𝑦 + 6)2
= 4?
a. C: (−7,6); 𝑟 = 4 b. C: (7,−6); 𝑟 = 16 c. C: (−7,6); 𝑟 = 8 d. C: (7,−6); 𝑟 = 2
2. Write the equation of a circle with center at (-4,0) and radius 10.
a. ( 𝑥 − 4)2
+ 𝑦2
= 10 b. ( 𝑥 + 4)2
+ 𝑦2
= 100
c. ( 𝑥 + 4)2
+ ( 𝑦 − 10)2
= 100 d. ( 𝑥 − 11)2
+ ( 𝑦 − 2)2
= 11.2
3. Convert to standard form 4𝑦2
+ 16𝑦 + 4𝑥2
− 24𝑥 = 12.
4. 𝑥2
− 6𝑥 + 𝑦2
− 8𝑦 = 0
6.
7. Write the standard equation of a circle with center (7, -8) and tangent to x = 1.
8. Write the standard equation of a circle concentric to y2 + 4y + 6x + x2 – 23 = 0 and with a
radius of 7.
Standard Equation:
Center:
Radius:
Diameter:
Standard Equation:
Center:
Radius: