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barxatty [35]
3 years ago
5

Need the answer asap pls​

Mathematics
1 answer:
sergiy2304 [10]3 years ago
8 0

Answer:

C. {-9,-3}

Step-by-step explanation:

|k+6|=3 gives k+6=3 if k + 6 \geq 0. This gives k=-3, which is valid.

It can also give -(k+6) = 3 if k + 6 < 0. This gives k=-9, which is valid.

Hence the solutions are k=-9 \vee k=-3.

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3 0
3 years ago
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

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5 0
3 years ago
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