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MA_775_DIABLO [31]
3 years ago
7

Graph f(x)=|x−2|+3 .

Mathematics
1 answer:
AURORKA [14]3 years ago
3 0

f(x) + n - translate the graph of f(x) n units up

f(x) - n - translate the graph of f(x) n units down

f(x + n) - translate the graph of f(x) n units left

f(x - n) - translate the graph of f(x) n units right

---------------------------------------------------------------------------------------

f(x) = |x - 2| + 3

g(x) = |x| → f(x - 2) + 3 = |x - 2| + 3

Translate the graph of g(x) 2 units right and 3 units up.


g(x) = |x|

for x = -2 → y = |-2| = 2 → (-2, 2)

for x = 0 → y = |0| = 0 → (0, 0)

for x = 2 → y = |2| = 2 → (2, 2)

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The ratio of the side lengths of a quadrilateral is 3:2:6:7, and its perimeter is 126 meters. What is the length of the shortest
scoundrel [369]

since the lengths of all those four sides are in a 3:2:6:7 ratio, and the whole perimeter is 126, what we do is, simply divide the whole by (3+2+6+7) and distribute accordingly.


\bf \stackrel{3\cdot \frac{126}{3+2+6+7}}{3}~~:~~\stackrel{2\cdot \frac{126}{3+2+6+7}}{2}~~:~~\stackrel{6\cdot \frac{126}{3+2+6+7}}{6}~~:~~\stackrel{7\cdot \frac{126}{3+2+6+7}}{7} \\\\\\ 3\cdot \cfrac{126}{18}~~:~~2\cdot \cfrac{126}{18}~~:~~6\cdot \cfrac{126}{18}~~:~~7\cdot \cfrac{126}{18} \\\\\\ 21~~:~~\stackrel{shortest}{14}~~:~~42~~:~~49

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change f(x) to 'y='

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