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

(-1, - 3)

Step-by-step explanation:

Vertex of y = |x| have the coordinates (0, 0).

f (x) + n - shift the graph n units up

f (x) - n - shift the graph n units down

f (x + n) - shift the graph n units to the left

f (x - n) - shift the graph n units to the right

nf (x) - stretches/shrinks vertically

f (nx) - stretches/shrinks horizontally

We have

f (x) = |8x + 8| - 3 = |8 (x + 1) | - 3 = |8| · |x+1| - 3 = 8|x + 1| - 3

g (x) = |x| → f (x) = 8g (x + 1) - 3

vertically streched by 8 (0, 8 · 0) → (0, 0)

shifted 1 unit to the left (0 - 1, 0) → (-1, 0)

shifted 3 units down (-1, 0 - 3) → (-1, - 3)