Question

Write an equation of the circle with center (5,−2) and radius 4

Answer 1

so you must be studying the equations of circles

the general form is

(x-a)^2 +(y-b)^2 = r^2

where (a,b) is the coordinate of the centre, and r is the radius

in oyur case
a=5
b=-2
r=4

so pput those values into the general form to get your answer.

(hint - be careful of the - signs...)

Answer 2

hint: \(\bf (x-{\color{brown}{ h}})^2+(y-{\color{blue}{ k}})^2={\color{purple}{ r}}^2

\qquad center\ ({\color{brown}{ 5}},{\color{blue}{ -2}})\qquad
radius={\color{purple}{ 4}}\)

Answer 3

B is negative -2 how would i put that?

Answer 4

it is still (y-b)

so put the -2 in place of b

(that leaves 2 - signs in front of the 2)

Answer 5

x-5^2+y--2^2=4^2???

Answer 6

yes - but you need the brackets to make it clear
you can simplify the two minuses
you can work out r^2