Write the standard equation of the circle with center (5, −4) and radius 3.

A. (x − 5)2 + (y + 4)2 = 9
B. (x + 5)2 + (y − 4)2 = 9
C. (x + 4)2 + (y − 5)2 = 3
D. (x + 5)2 + (y − 4)2 = 3

A. (x - 5)² + (y + 4)² = 9

General Formulas and Concepts:

Pre-Calculus

Equation of a Circle: (x - h)² + (y - k)² = r²

Step-by-step explanation:

Step 1: Define

Center (5, -4)

Radius r = 3

Step 2: Write Equation

Substitute variables into general form.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

where are the graphs?

step-by-step explanation: