Question

graphing the cubic function practice
complete this assessment to review what youve learned. it will not count

what is the point of inflection of the function $y = 3(x - 2)^3 + 6$?

option #1: $(2, -6)$

option #2: $(2, 6)$

option #3: $(-2, -6)$

(1 point)

Explanation:

Step1: Recall Inflection Point of Cubic

For a cubic function in the form \( y = a(x - h)^3 + k \), the point of inflection is at \( (h, k) \).

Step2: Identify h and k

In the function \( y = 3(x - 2)^3 + 6 \), we have \( h = 2 \) and \( k = 6 \).

Step3: Determine Inflection Point

Using the form, the inflection point is \( (2, 6) \), which matches Option #2.

Answer:

Option #2: \((2, 6)\)