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Lelu [443]
3 years ago
15

Abe come is paying $400 a month to rent a house

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0
What? ......




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Translate ƒ(x) = |x| so that it's translated up by 5 units and vertically stretched by a factor of 3. What's the new function g(
zavuch27 [327]

Given:

The parent absolute function is

f(x)=|x|

To find:

The new function if the parent function is translated up by 5 units and vertically stretched by a factor of 3.

Solution:

The translation is defined as

g(x)=kf(x+a)+b                .... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

Parent function is translated up by 5 units. So, b=5

It is vertically stretched by a factor of 3. So, k=3.

There is no horizontal shift. So, a=0.

Now, putting k=3, a=0 and b=5 in (1), we get

g(x)=3f(x+0)+5

g(x)=3f(x)+5

g(x)=3|x|+5       [\because f(x)=|x|]

Therefore, the correct option is D.

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3 years ago
Gil aunt cut his birthday cake into 32 equal pieces. eighteen pieces were eaten at his birthday party.what fraction of the cake
klasskru [66]
Started out with 32/32. They ate 18/32, 32-18=14; 14/32. To simplify, 7/16 was left.
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On a​ cross-country trip, a car uses 55 gallons of gas for every 120120 miles it travels. How many gallons of gas does the car u
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Answer:

For 600600 miles, it will use

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If you bought a hamburger for $10.25 and a soda for $4.53 and had $9 left over, then how much money did you originally have?
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$23.78 you originally had
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