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MrRa [10]
2 years ago
5

The function f(x) = –1∕3x2 is shifted down one unit. Which of the following function equations represents this translation? Ques

tion 6 options:
A) f(x) = –1∕3(x – 1)2
B) f(x) = –1∕3x2 + 1
C) f(x) = –1∕3x2 – 1
D) f(x) = –1∕3(x + 1)2
Mathematics
1 answer:
meriva2 years ago
6 0

f(x) = y \:  \:  \  \: \:  \:  \:  \:  \:  \:  \:  \:   {normal \: function} \\ f(x) = y - 1  \:  \:  \:  \:  \:  \:  \: func\: shifted \: down

f(x) =    \frac{ - 1}{3} x {}^{2}  \\ f(x) =  \frac{ - 1}{3} x {}^{2}  - 1

<h2>Answer: C</h2>
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Anonymous's answer is completely correct. I thought this problem was asking how to find the distance along the function from the point (2,2^8), and wrote the answer to that nice, tasty problem.

Simply integrate the line element with respect to some affine parameter!

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In this case,
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Whose experiment correctly represents the relationship shown at the table
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c: number of carnations

r: number of roses

Rebecca's expression is

r = c + 4

Replacing with the values of the table:

c | r

0 | 0+4 = 4

1 | 1+ 4 = 5

2 | 2+4 = 6

3 | 3+4 = 7

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Then, Rebecca is correct.

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An otter is swimming at - 4.2yo relative to the surface of the water. It dives 6.0 yds desper. After thedive, what is the otter'
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Answer:

Where to look: Any waterway you’re near! River otters are happy in fresh, brackish and salt water. They’re often seen in coastal areas near the mouths of rivers and creeks. They’re often seen in marshes and wetlands. They’re a little harder to see in vegetated rivers but keep looking, especially when boating. They’re often found in lakes…look where the fish are. In-crowd hint: Check out our otter spotter map to see where they’re often reported!

 

When to look: River otters are most often seen at dusk and dawn, but can be seen at any hour of the day or night.

 

What do I look for? Look for large ripples on the surface of the water, lots of bubbles and a 3 to 4 foot-long animal with a long thick tail. The tail is about a third of the body length of the otter. Otters are dark and sleek in the water. Otters have a large black hairless nose (rhinarium).

 

How do otters swim and move? In the water, river otters do not swim on their backs like sea otters. They can swim along with just their heads showing, they can dive and roll and they often stay underwater for up to 15 or 20 seconds. They also “periscope,” meaning raise their necks far out of the water to see farther. When swimming, they usually carry their bodies just under the surface. They’re very elusive and can “disappear,” into the water, brush, rocks or under overhanging vegetation.

 

On land, river otters are agile, can run quickly and climb trees. They’re small and narrow-bodied, with longer back legs than forelegs, so they move with a humping gait. They’re often seen running across beaches, or along paths near water.

 

There’s a superb Otter/Beaver/Muskrat article with photos and descriptions here.  

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In California, sea otters are most often seen around Monterey Bay and Elkhorn Slough. Occasionally we see them in the SF Bay Area. Sea otters are twice the size of river otters, and are never far from the ocean. They have enormous back flippers, and often swim on their backs with their big flippers sticking out of the water. Their tails are short and not as muscular as river otters. They are clumsy on land.

This video by Tom Reynolds shows sea otters first, then river otters. The differences will become obvious!

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Here’s a nice muskrat video.

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Here’s a gorgeous beaver, look at that tail!

Here’s our friend Heidi of Worth A Dam in a wonderful video showing the difference between otters and beavers.

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Here’s a fascinating video of a river otter protecting its prey from a curious harbor seal. Many thanks to the Sonoma County Water Agency for sharing with us!

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