Writing an Equation with a Given Center and Radius
Which equation represents a circle with a center at (2, -8) and a radius of 11?
(x - 3)2 + (y + 2)2 = 11
O (x - 2)2 + (y + 8)2 = 121
O (x + 2)2 + (y - 3)2 = 11
(x + 8)2 + (y – 2)2 = 121

Step-by-step explanation:

A circle is described by an equation in the following form:

(1)

where:

is the x-coordinate of the centre of the circle

is the y-coordinate of the centre of the circle

r is the radius of the circle

For the circle in this problem, we have:

- The centre is located at (2,-8), so

- The radius is 11, so

Therefore substituting into eq(1) we find the equation of this circle:

So the correct option is option B:

hello,

as we don't know if g(x) is continue,

answer b

f(x)=2x²-8x+1=2(x²-4x+4)+1-8=2(x-2)²-7

vertex is (2,-7) ( a minimum since coefficient of x² is > 0)