The center of a circle is 5 units below the origin, and the radius is 10 units. What is the equation of this circle? x2 + (y + 5)2 = 10
(x + 5)2 + y2 = 10
x2 + (y + 5)2 = 100
(x + 5)2 + y2 = 100

∈3,600

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.

can you give me more details?