Determine the equation of the circle graphed below

(x + 3)² + (y - 4)² = 32

Step-by-step explanation:

Since we are given the coordinates of the centre and a point on the circle, we can use distance formula to find the radius.

r = √((1 - (-3))² + (8 - 4)²)

r = √(16 + 16)

r = √32

Now, formula for equation of a circle with centre (h, k) is;

(x - h)² + (y - k)² = r²

Our centre is (-3, 4) with r = √32

Thus;

(x - (-3))² + (y - 4)² = (√32)²

(x + 3)² + (y - 4)² = 32

-8

step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2