Question

What are the coordinates of the turning point for the function f(x) = (x + 2)3 − 4?

a. (−2, −4)

b.(−2, 4)

c.(2, −4)

d.(2, 4)

Answer 1

Answer:A

Explanation:

Given

`F(x)=(x+2)^3-4`

Turning Point is the point where the graph changes its nature i.e. either increasing to decreasing or decreasing to increasing

to find turning point

`F'(x)=3(x+2)^2+0`

For critical point

F'(x)=0

`3(x+2)^2=0`

x+2=0

x=-2

`F(x)=(-2+2)^3-4=-4`

thus

(-2,-4 ) is the turning Point where Function changes its nature