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3 years ago

Match each function formula with the corresponding transformation of the parent function y = - (x + 2)2.

Mathematics

1 answer:

Sav [38]3 years ago

6 0

Answer:

1. $y=(x + 2)^{2}$ is the equation reflected across the x-axis.

2. $y=(x - 2)^{2}$ is the equation reflected across the x-axis and the y-axis.

3. $y=-(x + 4)^{2}$ is the equation translated left by 2 units.

4. $y = -x^{2}$ is the equation translated right by 2 units.

5. $y=2-(x + 2)^{2}$ is the equation translated up by 2 units

6. $y= -(x + 2)^{2} -2$ is the equation translated down by 2 units.

Step-by-step explanation:

The original equation is $y=-(x + 2)^{2}$

Therefore,

1. $y=(x + 2)^{2}$ is the equation reflected across the x-axis.

2. $y=(x - 2)^{2}$ is the equation reflected across the x-axis and the y-axis.

3. $y=-(x + 4)^{2}$ is the equation translated left by 2 units.

4. $y = -x^{2}$ is the equation translated right by 2 units.

5. $y=2-(x + 2)^{2}$ is the equation translated up by 2 units

6. $y= -(x + 2)^{2} -2$ is the equation translated down by 2 units. (Answer)

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Solve For Each Variable.

bixtya [17]

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We have to add 1 and 5 to the right side first. We will get,

$6= 6 - 2n$

To get rid of 6 from the right side we have to subtract 6 from both sides.

$6-6 = 6-6-2n$

$6-6 = -2n$

$0=-2n$

To find n we have to move -2 to the other side by dividing both side by -2.

$0/-2 = -2n/-2$

$0= n$

$n=0$

So we have got the required answer for the first question.

The solution is n = 0.

The second equation given,

$8x-2 = -9+7x$

First we have to move 7x to the left side by subtracting it from both sides.

$8x-7x-2 = -9+7x-7x$

$8x-7x-2 = -9$

$x-2 = -9$

Now we have to move -2 to the right side by adding 2 to both sides.

$x-2+2 = -9+2$

$x = -9+2$

$x = -7$

We have got the required answer for the second question.

The solution is x = -7.

The third equation given,

$-8 = -(x+4)$

We have to get rid of that negative sign from both sides. As we have negative sign to both sides we can cancel it out. We will get,

$8=x+4$

Now we have to move 4 to left side by subtracting it from both sides.

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$x = 4$

So we have got the required answer .

The solution is x = 4.

3 0

3 years ago

here is the histogram of a data distribution. all class widths are 1. which of the following is the closest to the median of thi

Alborosie

The value of the median of the distribution is closest to 5.

<h3>What is the median?</h3>

A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.

The median is the number at the center of a dataset when the dataset is arranged in either ascending or descending order.

The numbers arranged in ascending order is : 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9

Median = 5

Please find attached an image of the histogram. To learn more about histograms, please check: brainly.com/question/14473126

#SPJ1

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2 years ago

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Answer:

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