What is the vertex of f(x) = |x + 8| - 3?
(-8, -3); (-8, 3); (8, -3); (8, 3)

Solution:

f(x) = |x + 8| – 3 [Given]

Standard equation of a curve in vertex form is

f (x) = a |x - h|² + k

Where (h, k) is the vertex of the curve. Here a = 1.

Here we need to find h and k.

f(x) = |x + 8|² – 3

It can be written as

f (x) = |x - (-8)| + (-3)

Comparing it with the standard form

(h, k) = (-8, -3)

Therefore, the vertex is (-8, -3).

What is the vertex of f(x) = |x + 8| -3?
(-8, -3); (-8, 3); (8, -3); (8, 3)

Summary:

The vertex of f(x) = |x + 8| - 3 is (-8, -3).