Amerry-go-round is to be built in a park. the center of the structure is required to be equidistant from three support columns located at q(4,−2), r(2,−4), and s(0,2). what are the coordinates for the location of the center of the merry-go-round?

answer: ouch. thats difficult

step-by-step explanation:

answer: options

step-by-step explanation:

step-by-step explanation:

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.