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GuDViN [60]
3 years ago
12

Which answer describes the transformation of f(x)=x^2−1 to g(x)=(x+4)^2−1

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0
Since the only change is a plus 4 in side the parenthesis, the transformation is horizontal (since it is in the parenthesis). And we have to change the sign to get -4 which means the transformation is 4 units to the left.

Hope this helps
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Let x △ y be defined by x △ y=x−5y. What is the value of 3 △  (−4)
TEA [102]

x\Delta y=x-5y\\\\3\Delta(-4)\qquad\text{put the values x = 3 and y = -4 to the expression x - 5y}:\\\\3\Delta(-4)=3-5(-4)=3+20=23

5 0
3 years ago
On Monday, it snowed 30 inches in 16 hours. On Thursday, it snowed 21 inches in 6 hours. On which day did it snow at a greater r
nevsk [136]

Answer: Thursday

Step-by-step explanation:

I think this answer is correct because, On Monday it says it snowed 30 inches for 16 hours, so we divide 30 by  16 and we get 1.875. But for Thursday it snowed 21 for 6 hours, so we divide 21 by 6 and that equals 3.5. So on Monday it snowed 1.875 snow per hour and Thursday it snowed 3.5 snow per hour. So the answer is Thursay!

Hope This Helps!

5 0
2 years ago
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Voltage = 18v. Current = 36 amps resistance =?
kupik [55]
Voltage= Current * Resistance
Plug in your values and solve for 'x' or resistance
8 0
3 years ago
Select the term that best describes the statement A triangle is acute provided all the angles have a measure of less than 90 deg
Aloiza [94]
I think the correct answer is conjunction...
4 0
3 years ago
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Question 5 and 6 please help me
sp2606 [1]

Problem 5

The function is continuous for the given domain x \ge 6

This is because y = (-5/6)x+5 is itself continuous, and any interval subset of this function is also continuous. We can plug in any real number that is equal to 6 or larger, and get some y output. If we plugged in x = 6, then we'd get

y = (-5/6)x+5

y = (-5/6)*6 + 5

y = -5+5

y = 0

This is the largest y value possible. Why? Because y = (-5/6)x+5 has a negative slope, so the graph is going downhill as you read it from left to right. As x gets bigger, y gets smaller. The smallest x value allowed in the domain produces the largest y value in the range. There is no smallest y value as the y values keep going down forever.

The range is therefore y \le 0

In interval notation, you can write the range as (-\infty, 0]. The square bracket indicates "include this endpoint as part of the range".

======================================================

Problem 6

The function is discrete for this given domain. The domain itself is a discrete list of values. We cannot plug in values between say 0 and 2. We can only substitute one of those values from the list given. Consequently, the y values will also be a list, and not an interval like problem 5 had.

-----------

If you plugged in x = -4, then you should get...

y = (-1/2)*(-4)+2

y = 2+2

y = 4

So the input x = -4 lead the output y = 4

Repeat for x = -2

y = (-1/2)x+2

y = (-1/2)*(-2)+2

y = 1+2

y = 3

and the same for x = 0 as well

y = (-1/2)x+2

y = (-1/2)*0 + 2

y = 0 + 2

y = 2

and x = 2 also

y = (-1/2)x+2

y = (-1/2)*2 + 2

y = -1+2

y = 1

Finally, plug in x = 4

y = (-1/2)x+2

y = (-1/2)*4+2

y = -2+2

y = 0

---------------

If we plugged each of these x values {-4, -2, 0, 2, 4} one at a time into the equation y = (-1/2)x+2, then we get this list of values {4, 3, 2, 1, 0}

Sorting the values from smallest to largest, we have this range {0, 1, 2, 3, 4}

3 0
2 years ago
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