# What are the coordinates of the turning point for the function f(x) = (x + 3)^{3} + 1?

**Solution:**

The given function is f(x) = (x + 3)^{3} + 1

The turning point of a function where the f’(x) = 0

f’(x) = 3(x + 3)^{2}

To find the value of x, equate the first derivative equal to 0.

3(x + 3)^{2} = 0

x + 3 = 0

x = -3

At the turning point the x-coordinate is -3.

Substitute x = -3 in the given function

f(-3) = ((-3) + 3)3 + 1

f(-3) = 1

At the turning point the y-coordinate is 1.

Therefore, the turning point is (-3, 1).

## What are the coordinates of the turning point for the function f(x) = (x + 3)^{3} + 1?

**Summary:**

The coordinates of the turning point for the function f(x) = (x + 3)^{3} + 1 is (-3, 1).

Math worksheets and

visual curriculum

visual curriculum