Which equation represents a circle with a center at (2, –8) and a radius of 11?

a.(x – 8)2 + (y + 2)2 = 11
b.(x – 2)² + (y + 8)² = 121
c.(x + 2)² + (y – 8)² = 11
d.(x + 8)² + (y – 2)² = 121

The equation represents a circle with a center at (2, –8) and a radius of 11 is (x - 2)² + (y +8)² = 121

The standard equation of a circle is expressed as;

(x - a)² + (y – b)² = r²

where:

(a, b) is the centre of the circle

r is the radius of the circle'

Given the following

Substitute into the formula to have:

(x - 2)² + (y – (-8))² = 11²

(x - 2)² + (y +8)² = 121

Hence the equation represents a circle with a center at (2, –8) and a radius of 11 is (x - 2)² + (y +8)² = 121

Learn more on equation of a circle here: link

answerthe vertex form

step-by-step explanation:

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)