Question

graphing the cubic function practice
complete this assessment to review what youve learned. it will not count toward
what is the inflection point of the function $f(x) = (x - 8)^3 - 2$?
option #1 $(8, -2)$
option #2 $(8, 2)$
option #3 $(2, 8)$
(1 point)

Explanation:

Step1: Recall Cubic Function Form

The general form of a cubic function \( y = a(x - h)^3 + k \) has its inflection point at \( (h, k) \).

Step2: Identify \( h \) and \( k \)

For the function \( f(x)=(x - 8)^3 - 2 \), we can rewrite it as \( f(x)=1(x - 8)^3+(-2) \). Here, \( h = 8 \) and \( k=-2 \).

Step3: Determine Inflection Point

Using the form, the inflection point is \( (h, k)=(8, -2) \).

Answer:

Option #1 \((8, -2)\)