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NeX [460]
3 years ago
8

If g(x)=a x f(x+b) how is f(x) transformed to get g(x)

Mathematics
2 answers:
kirza4 [7]3 years ago
8 0

Answer:

a: -2f(x+4)

Step-by-step explanation:

Took the quiz, got 100%.

guajiro [1.7K]3 years ago
4 0

Answer:

Ok, we know that g(x) = a*f(x + b), we want to find all the transformations that we must apply to f(x) to construct g(x).

Let's assume at the beggining that T2(T1(f(x))) = g(x), and start appliying the transformations.

First, we have a horizontal shift.

If we want to move the graph A (A positive) units to the right, we should have:

g(x) = f(x - A)

in this case we have

g(x) = f(x + b) = f(x - (-b))

So we have a shift of -b units to the right, or b units to the left.

Second:

We have a vertical contraction/dilation.

if we have a function f(x), a compression/dilation of scale factor A is written as:

g(x) = A*f(x)

if A > 1, we have a dilation.

if 0 < A < 1, we have a contraction.

In this case the scale factor is a.

g(x) = a*f(x).

Now, applying both transformations we have:

> shift of b units to the left.

> contraction/dilation of scale factor a.

g(x) = a*f(x +b)

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(2a+b)^2÷(3b-1) when a= -2 and b=5
WINSTONCH [101]
Evaluate (2 a + b)^2/(3 b - 1) where a = -2 and b = 5:
(2 a + b)^2/(3 b - 1) = (5 - 2×2)^2/(3×5 - 1)

3×5 = 15:
(5 - 2×2)^2/(15 - 1)

 | 1 | 5
- | | 1
 | 1 | 4:
(5 - 2×2)^2/14

2 (-2) = -4:
(-4 + 5)^2/14

5 - 4 = 1:
1^2/14

1^2 = 1:

Answer: 1/14
6 0
3 years ago
Jackson purchased a pack of game cards that was on sale for 22% off. The sales tax in his county is 6%. Let y represent the orig
Ymorist [56]

Answer:

Final cost = 0.9328y

Step-by-step explanation:

Assume,

Original price = y

Given:

Discount = 22%

Sales tax = 6%

Computation:

Sales tax will be added on sale value

So,

Sales price = y[100%-22%]

Sales price = 0.88y

Price after sales tax :

Final cost = 0.88y[100% + 6%]

Final cost = 0.88y[106%]

Final cost = 0.9328y

8 0
2 years ago
Someone please help i cant figure it out link attached
zavuch27 [327]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Which choice correctly compares the two numbers?
notka56 [123]

Answer:

A) 20.82 > 20.55

Step-by-step explanation:

Hopefully, your issue is with the symbols (< vs >) rather than actually determining which number is larger or smaller.

The wide-open end of the symbol (the left side, in the case of >) indicates the larger (more positive) number.

So, the meanings of the symbols are ...

> — "is greater than"

< — "is less than"

The only true statement of those listed is ...

20.82 is greater than 20.55, or 20.82 > 20.55 . . . . selection A

_____

When writing number comparisons, I like to use the < symbol, because it puts the numbers in number-line order. That is, the smaller (or more negative) number is on the left, just as it is on a number line.

You trade the places of the numbers when changing the symbol. For example, answer choice A could be rewritten as ...

20.55 < 20.82

You know that 20.55 is to the left of 20.82 on the number line, so you know this statement is true.

3 0
3 years ago
What is the answer for this equation: 3n-8=n
stiks02 [169]

Answer:

n=4

Step-by-step explanation:

6 0
3 years ago
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