X^2 +y^2+4x+2y-20=0Find the center h, kGraph the circle Find the radius Find the intercepts

The general form of the equation of a circle is given as

(x - h)^2 + (y - k)^2 = r^2

Hence given the circle X^2 +y^2+4x+2y-20=0

Rearranging the equation

X^2+4x+y^2+2y =20

Completing the square

X^2 +4x + 4+y^2+2y + 1= 20 + 4 + 1

factorizing

(x + 2) ^2 + (y + 1)^2 = 25

(x + 2) ^2 + (y + 1)^2 = 5^2

Comparing with the general form of the equation of a circle

(h,k) = (-2, -1)

The radius is 5

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.