End 18. A scale balanced with 1 blue x-block and 20 green
blocks on the left side and 40 green blocks on
the right side. A student bumped into the scale
and knocked some blocks off so that only 1 blue
green
blocks remained on the left
side. How many blocks do you need to remove
x-block and 3
from the right side to make the scale balance?

i never knew that

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.