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Stella [2.4K]
4 years ago
6

Let f(x) = |x| for all real numbers x. Write the formula for the function represented by the described

Mathematics
1 answer:
Ostrovityanka [42]4 years ago
6 0

Answer:

y=(\frac{1}{3}f(x-3))-1

Step-by-step explanation:

Please see the picture below.

1. Given the function f(x) = |x|, applying a vertical stretch with scale factor \frac{1}{3}, we have the transformed function:

y=\frac{1}{3}f(x)

2. Applying a translation of 3 units to the right, we have:

y=\frac{1}{3}f(x-3)

3. Finally applying a translation down of 1 unit, we have:

y=(\frac{1}{3}f(x-3))-1

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Okay, ask yourself this : how many times does 6 goes into 30?

6 and 1 = 6
6 and 2 = 12
6 and 3 = 18
6 and 4 = 24
6 and 5 = 30

6 goes into 30 a number of 5 times. And so that means that :

60 and 1 make 60.
60 and 2 make 120
60 and 3 make 180.
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60 and 5 make 300

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3 0
3 years ago
Check my Work: Factoring for 2y^+9y-18 is (2y-3) (y+6) true or false?
Alexxandr [17]

It is true because when you separate 2y^2 +9y -18, you are supposed to get the factors (2y-3)(y+6), when you multiply this it gives you the first equation, we know this because when we multiply the first term it gives us exactly 2y^2 and if we multiply the last ones it gives you -18, now here is the tricky part, when we multiply the middle part we get 12y and -3y, when we add these up we get 9y, now is that the same middle as in the equation? Yes… then our factors are correct making this true


Hope this helps

7 0
3 years ago
I don't understand this problem. I thought the answer was -9 but my teacher wouldn't accept it. please help.
crimeas [40]

Answer:

Use https://www.bartleby.com/  it has helped me out a lot . Its actual tutors/teachers who answer your questions in about 30 minutes :)

Step-by-step explanation:

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3 years ago
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Source:
http://www.1728.org/trictr.htm
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