The equation of the circle whose center is at (4,4) and whose radius is 5 is

(x + 4)² + (y + 4)² = 5
(x + 4)² + (y + 4)² = 25
(x - 4)² + (y - 4)² = 25

C

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

Here (h, k) = (4, 4) and r = 5, thus

(x - 4)² + (y - 4)² = 25 ← equation of circle

2x^2+5x+17

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