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3 years ago

If f(x) = x^2 is reflected over the x-axis and the shifted 4 units down, what is the equation of the new function, g(x)?

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Answer:

g(x) = -x² - 4

Step-by-step explanation:

In this case, we are only changing a (reflection and vertical shrink/stretch) and k (vertical movement)

k = -4 because we are moving 4 units down

a = -1 because we are just reflecting over the x-axis

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Can somebody help me on 23 and 24, it’s geometry

Luda [366]

Question 23:

x = 4

DE = 44

Question 24:

x = 25

SE = 28

Step-by-step explanation:

As RS is the perpendicular bisector of DE, it will divide DE in two equal parts DS and SE

Question number 23:

Given

DS = 3x+10

SE = 6x-2

As the two segments are equal:

$DS = SE\\3x+10 = 6x-2$

Subtracting 10 from both sides

$3x+10-10 = 6x-2-10\\3x = 6x-12$

subtracting 6x from both sides

$3x -6x = 6x-6x-12\\-3x = -12$

Dividing both sides by -3

$\frac{-3x}{-3} = \frac{-12}{-3}\\x = 4$

Now

$DS = 3x+10\\= 3(4)+10\\= 12+10\\=22$

And

$SE = 6x-2\\= 6(4)-2\\= 24 - 2\\=22\\DE = DS+SE\\= 22+22\\=44$

Question No 24:

Given

DS = x+3

DE = 56

We know that:

$DS = \frac{1}{2}DE\\x+3 = \frac{56}{2}\\x + 3 = 28\\x = 28-3\\x = 25$

DS = $25+3 = 28$

As DS is 28, SE will also be 28

Hence,

Question 23:

x = 4

DE = 44

Question 24:

x = 25

SE = 28

Keywords: Bisector, Line segment

Learn more about line segments at:

#LearnwithBrainly

4 0

2 years ago

24 + (-9) - 44 + 33 - 17 word problem form

pashok25 [27]

Twenty four plus (negative nine) minus forty-four plus thirty three minus seventeen.

7 0

2 years ago

Answer now please.ASAP

ruslelena [56]

Answer:

12.56

Step-by-step explanation:

8 times 3.14 is 25.12. Then 4 times 3.14 is 12.56. Finally, you take 25.12 - 12.56 and the answer is 12.56.

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2 years ago

- A bakery received 2 shipments of

Vesnalui [34]

Answer:

1.88 pounds

Step-by-step explanation:

First, find the total amount of sugar, since there were 2 shipments

22.56(2)

= 45.12

Then, divide this by 24:

45.12/24

= 1.88

So, each canister had 1.88 pounds of sugar

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2 years ago

Mac has 40 ounces of juice. He pours 6 ounces in each glass. How many glasses can he fill?

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

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1 year ago