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den301095 [7]
2 years ago
12

Consider a parabola P that is congruent to y=x^2, opens upward, and has vertex (0,0). Find the equation of a new parabola that r

esults if P is reflected in the x-axis, and translated 1 unit to the left and 3 units up.
Mathematics
1 answer:
slega [8]2 years ago
7 0

9514 1404 393

Answer:

  y = -(x+1)^2 +3

Step-by-step explanation:

Translating f(x) left by 1 unit replaces x with x+1.

Translating f(x) up by 3 units replaces f(x) with f(x)+3.

Reflecting f(x) over the x-axis replaces f(x) with -f(x).

__

When y = x^2 is reflected over the x-axis, it becomes ...

  y = -x^2

When y = -x^2 is translated 1 unit left, it becomes ...

  y = -(x +1)^2

When y = -(x+1)^2 is translated 3 units up, it becomes ...

  y = -(x +1)^2 +3

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hodyreva [135]

Answer:

x=4

Step-by-step explanation:

8 0
2 years ago
In an art history class there are two male students for every three female students. What is the ratio of female to male student
mylen [45]

Answer:

3:2

Step-by-step explanation:

3 females every 2 males

7 0
2 years ago
Please HELP ASAP!!! The dot plot show the number of hours teenagers spent on two different websites last week. Which statement i
Delvig [45]

Answer:

(F.) the mode of the data for website K is greater than the mode of the data from website L

Step-by-step explanation:

Mode simply means the parameter that occurs the most.

In website K, the one that occurs the most is 8 hours while in website L, the one that occurs the most is 2 hours.

This means that mode of website K is greater than that of website L.

Thus,statement F is correct

Range is the difference between the highest value and the lowest value..

For website K, Range = 14 - 1 = 13

For website L, Range = 13 - 1 = 12

Thus,range of both websites are not the same and as such statement G is wrong.

For a symmetrical distribution, the left and right hand sides of the centre value line of the distribution have to mirror each other.

In this case neither website K nor L have that. Thus, statement H is not correct.

Skewed to the left means that more o

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8 0
3 years ago
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How do i multiply negative exponents
katrin2010 [14]
You add the exponents together when multiplying 
4 0
3 years ago
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Derek uses a 136 cm flat steel bar that weighs 4 kg to make rack in the garage. Determine the weight of a 170 cm steel bar
Bumek [7]

The weight of a 170 cm steel bar will be 5 Kg

Step-by-step explanation:

Derek uses a 136 cm flat steel bar that weighs 4 kg to make rack in the garage.

1 kg = 1000 gm

So the weight of 1 cm steel bar will be  \frac{4 }{136} kg

Weight of 1 cm bar = \frac{4000}{136} gm

Let the weight of a 170 cm steel bar will be \frac{4000 }{136} × 170 gm

⇒4000 × 1.25 gm

⇒ 5000 gm

⇒5 kg

Hence, the weight of a 170 cm steel bar will be 5 Kg

4 0
3 years ago
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