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Alexus [3.1K]
3 years ago
8

What transformation has changed the parent function f(x) = (.5)x to its new appearance shown in the graph below?

Mathematics
2 answers:
Simora [160]3 years ago
8 0

Answer:

Last option

−1 • f(x)

Step-by-step explanation:

The function f(x) = (0.5) ^ x passes through point (-1, 2) because:

f(-1) = (0.5) ^ {-1}= \frac{1}{(0.5)} = 2

and also goes through the point (0, 1)

Because:

f(0) = (0.5)^0 = 1

Then, if the transformed function passes through the point (0, -1) and passes through the point (-1, -2) then this means that the graph of f(x) = (0.5) ^ x reflected on the axis x. This means that if the point (x_0, y_0) belongs to f(x), then the point (x_0, -y_0) belongs to the transformed function

The transformation that reflects the graph of a function on the x-axis is.

y = cf(x)

Where c is a negative number. In this case c = -1

Then the transformation is:

y = -1*f(x)

and the transformed function is:

f (x) = - (0.5) ^ x

<h2><em><u>Observe the attached image.</u></em></h2>

densk [106]3 years ago
7 0

Answer:

f(x) -2 is the correct answer.

Step-by-step explanation:

Just took the test!

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3 years ago
Which shows the expressions rewritten with the least common denominator?
baherus [9]

Answer:

  D.  (14x-4)/(8x^2) and (x^2-x)/(8x^2)

Step-by-step explanation:

The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.

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7 0
2 years ago
My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday
Debora [2.8K]

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

8 0
3 years ago
a music store sells a used guitar for $120. This is $25 more than 1/2 the cost of a new guitar of the same brand. what is the co
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Answer:

$190.

Step-by-step explanation:

We can write the equation 120=25+1/2n where n is the cost of a new guitar. First, we subtract 25 from both sides to get 95=1/2n. Then, we multiply both sides by 2 to get 190=n. Therefore, the cost of a new guitar is $190.

3 0
3 years ago
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