Question

PLEASE HELP! for this equation which answer is correct?

A: Center: (1, 4) radius: 4

or B: (4, -1) radius 2

Answer 1

B: (4, -1) radius 2

Explanation:

`\sf (x - 1)^2 + (y - 4)^2 = 4`

The equation of a circle with center (h, k) and radius r is given by:

`\boxed{\sf (x - h)^2 + (y - k)^2 = r^2}`

We can rewrite the given equation as:

`\sf (x - 1)^2 + (y - 4)^2 = 2^2`

Comparing this equation to the standard form of the equation of a circle,

we can see that the center of the circle (h,k)=(1, 4) and the radius(r) =2.

Therefore, the center and radius of the circle are:

• Center:(1, 4)
• Center:(1, 4)Radius: 2