Question

cubic & cube root functions unit online practice
complete this assessment to review what you’ve learned. it will not count towa
what is the point of inflection of the function $y = -4(x + 7)^3 - 11$? (1 point)
\\(\circ\\) $(-7,11)$
\\(\circ\\) $(-7, -11)$
\\(\circ\\) $(7,11)$
\\(\circ\\) $(7, -11)$

Explanation:

Step1: Recall inflection point of cubic function

For a cubic function in the form \( y = a(x - h)^3 + k \), the point of inflection is at \( (h, k) \). But in our function \( y = -4(x + 7)^3 - 11 \), we can rewrite \( (x + 7) \) as \( (x - (-7)) \). So comparing with \( y = a(x - h)^3 + k \), we have \( h=-7 \) and \( k = - 11 \).

Step2: Identify the inflection point

Using the form, the inflection point should be \( (h,k)=(-7,-11) \).

Answer:

\( \boldsymbol{(-7, -11)} \) (corresponding to the option: \( \boldsymbol{(-7, -11)} \))