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Aloiza [94]
3 years ago
15

Explain the transformation rules for the graph of y=2|x-2|+5

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0
1) Graph f(x) = |x|

Observe that y = 2|x - 2| + 5 = 2f(x) + 5

So, these are the transformation rules that you can use:

2) shift the graph 2 units to the rigth: because |x - 2| is f(x - 2)

3) dilate the function (stretch vertically) multiplying by 2

4) shift the graph 5 units upward: because adding a constant to the function moves the graph upward the same amount of units as the value of the constant.
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When 25 is subtracted from seven times a certain number the result is 136. What is the number?
enyata [817]
136 the number is 13
6
7 0
3 years ago
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F(z) = (z - 5)(2x + 7) (73 = 3) has zeros at x = -3.5, x=3/7 , x=5 What is the sign of f on the interval 3/7 < x <5?
Gwar [14]
<h3>Answer:     Negative</h3>

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

Explanation:

3/7 = 0.42857 approximately

Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2

Plug x = 2 into the f(x) function

f(x) = (x - 5)(2x + 7)(7x-3)

f(2) = (2 - 5)(2*2 + 7)(7*2-3)

f(2) = (2 - 5)(4 + 7)(14-3)

f(2) = (-3)(11)(11)

f(2) = -363

The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.

3 0
3 years ago
Lee walked a total of 4.48 miles. he walks 1.4 miles each hour. how long did lee walk?​
laila [671]

Answer - 3.2 hours

because 4.48 miles divided by 1.4 mph equals 3.2

4 0
3 years ago
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A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $7,900 in political contrib
baherus [9]
The simplest interpretation would go a little something like this:

We know that we want the total donation amount to be more than $7,900, so we can set up this inequality to begin with

D \ \textgreater \ 7,900

Where D is the total donations raised (in dollars). How do we find D? Well, we just add up the total number of table reservations sold and the total number of single tickets sold. If we let r stand for the number of reservation tickets and s stand for the number of single tickets, then we have

D=540r+34s

So, the inequality representing this situation would be

540r+34s\ \textgreater \ 7,900

And that would probably be fine for this problem.

<span><em>Footnote:</em> </span>Of course, if this were a real-life scenario, we'd need to take some additional details into account: How many tables do we have? How many people can be seated at each table?
3 0
3 years ago
Vanessa wants to earn an 85% grade in her Statistics class. She has one quiz left to take. On the first 4 quizzes, she received
grandymaker [24]

Answer: They would have to score an 88%

Step-by-step explanation:

1.) The mean of 84, 92, 83, and 78 is 337

2.) 337 divided by 4 is 84.25%

3.) If you add 88 to 337 and divide by 5, you get 85%

6 0
3 years ago
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