Question

question 5 of 10

the circle below is centered at the point (-3, 4) and has a radius of length 3. what is its equation?

a. \\((x + 3)^2 + (y - 4)^2 = 9\\)
b. \\((x - 3)^2 + (y + 4)^2 = 9\\)
c. \\((x - 4)^2 + (y + 3)^2 = 3^2\\)
d. \\((x + 4)^2 + (y - 3)^2 = 3^2\\)

Explanation:

Identify the standard equation of a circle

$$ (x - h)^2 + (y - k)^2 = r^2 $$

Substitute the given center and radius

$$
LATEXBLOCK0
$$

Simplify the equation

$$ (x + 3)^2 + (y - 4)^2 = 9 $$

Answer:

• (A) \((x + 3)^2 + (y - 4)^2 = 9\) (Correct answer)
• (B) \((x - 3)^2 + (y + 4)^2 = 9\)
• (C) \((x - 4)^2 + (y + 3)^2 = 3^2\)
• (D) \((x + 4)^2 + (y - 3)^2 = 3^2\)