Given the function, f(x)=3√x-1-6, choose the correct transformation.
A. Left 1, down 6
B. Left 1, up 6
C. Right 1, down 6
D. Right 1, up 6

f

step-by-step explanation:

f

what’s the question?

(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.