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3 years ago

Which absolute value function defines this graph?

Mathematics

2 answers:

bixtya [17]3 years ago

6 0

The first one because it has a negative slope (which is -4) and h is always the opposite while k stays the same. By the way h is the 2 and k is the 3

Sliva [168]3 years ago

4 0

Answer:

A. $f(x)=-4|x+2|+3$

Step-by-step explanation:

We have been given an image of an absolute function. We are asked to find the formula for our given absolute function.

The formula of parent absolute function is $f(x)=|x|$ with vertex at (0,0)

We can see that the vertex of our given function is at $(-2,3)$ . This means that our function is shifted to left by 2 units. We can represent this information as: $f(x)=|x--2|=|x+2|$

We can also see that our graph is reflected across x-axis, so after reflection our function would be $f(x)=-|x+2|$

We can see that our graph is shifted upwards by 3 units, so graph after shifting would be $f(x)=-|x+2|+3$ .

Our graph is stretched vertically by a scale factor of 4, so after stretching our function would be $f(x)=-4|x+2|+3$ .

Therefore, option A is the correct choice.

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matrenka [14]

If 3 = $m^x$ , then we know 9 = $(m^x)^2$ because 9 is 3 squared.

$(m^x)^2$ can be simplified to $m^{2x}$

So now we know $9m^2$ = $m^{2x}$ · $m^2$

Since $m^{2x}$ and $m^2$ have the same base, we can express it as a single term by adding the exponents together.

So the answer is C) $m^{2x+2}$

3 0

3 years ago

a survey was taken of children between the ages 7 and 12. let A be the event that the person rides the bus to school, and let B

galben [10]

Answer:

The statement is true about whether A and B are independent eventa is fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

Step-by-step explanation:

Let A be the event that the person rides the bus to school, then:

P(A)=75/300

P(A)=0.25

Let B be the event that the person has 3 or more siblings, then:

P(B)=24/300

P(B)=0.25

P(A/B)=9/24

P(A/B)=0.375

Like P(A/B)=0.375 is different to P(A)=0.25 the events are not independent

Answer. Fourth option:

A and B are not independent events because P(A/B)=0.375 and P(A)=0.25

8 0

3 years ago

Read 2 more answers

What are all the roots of the function f(x)= x^3+3x^2-x-3

frozen [14]

Answer:

\mathrm{Domain\:of\:}\:x^3+3x^2-x-3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}

Step-by-step explanation:

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2 years ago

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Leni [432]

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4 0

3 years ago

The 67 is between which of the following integers?

Vlad1618 [11]

Answer:

8 and 9

Step-by-step explanation:

8² = 64, and 9² = 81. Equivalently, √64 = 8 and √81 = 9. Since 67 is between 64 and 81, √67 must be between 8 and 9.

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3 years ago