Question

graphing the cubic function practice
complete this assessment to review what you’ve learned. it will n
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 the form of a cubic function

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

Step2: Identify \( h \) and \( k \) from the given function

For the function \( y = 3(x - 2)^3 + 6 \), we can see that \( h = 2 \) and \( k = 6 \).

Step3: Determine the point of inflection

Using the form, the point of inflection is \( (h, k)=(2, 6) \).

Answer:

Option #2: (2, 6)