Which equation represents a circle with the same center as
the circle shown but with a radius of 2 units?
(x – 4)2 + (y – 5)2 = 2
(x - 4)2 + (y – 5)2 = 4
(x - 5)2 + (y – 4)2 = 2
(x - 5)2 + (y - 4)2 = 4

(x - 4)² + (y - 5)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

(x - 4)² + (y - 5)² = 2

with centre (4, 5) and r =

The comparable equation with equivalent left side and r = 2 is

(x - 4)² + (y - 5)² = 4

flipped over x-axis and moved 5 units to the left

Step-by-step explanation:

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