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3 years ago

The graph of g(x) contains the point (7,12). What point must be on the graph of the function f(x) if g(x) = 2f(x-3)+4?

1 answer:

5 0

First take out 2 as a factor
g(x) = 2[f(x-3)+2]

f(x-3) means a shift of +3 in the x direction
+2 means a shift of +2 in the y direction
2[f] means a stretch of scale factor 2 in the y direction

so (7+3, 2(12+2)) -> (10,28)

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Answer:

$dAB=10\ units$

Step-by-step explanation:

we know that

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2 years ago

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Rama09 [41]

Answer:

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3 years ago

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Evgesh-ka [11]

Answer:

He bought 20 shirts

Step-by-step explanation:

shirts -- x

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2 years ago

The side lenghts of a triangle are 14,15, and x units

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9514 1404 393

Answer:

1 < x < 29

Step-by-step explanation:

The triangle inequality requires the sum of the two shortest sides exceed the longest side.

When x and 14 are the shortest:

x + 14 > 15

x > 1

When 14 and 15 are the shortest:

14 +15 > x

29 > x

Then the requirement for the length of x is ...

1 < x < 29

_____

Additional comment

The length of the third side of a triangle can be between the difference and sum of the two given sides.

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2 years ago