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Mathematics
Beyonce
10 October, 11:37
What is the vertex of f (x) = | 8x + 8| - 3?
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Adan Houston
10 October, 12:39
0
(-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)
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