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Artemon [7]
3 years ago
8

Which graph represents the function f(x) = |x + 3|?

Mathematics
2 answers:
Sophie [7]3 years ago
6 0
Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.

But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.

Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).

What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.

So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.
kogti [31]3 years ago
6 0

Answer:

2nd graph or B.)

Step-by-step explanation:

?

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The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi
Roman55 [17]

Answer:

\frac{16}{9}  hours

Step-by-step explanation:

Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

a=\frac{k}{b}

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

t=\frac{k}{r}

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

t=\frac{k}{r}\\2=\frac{k}{40}\\k=2*40\\k=80

Now, secondly, we have r = 45 and k = 80, we need to find t:

t=\frac{80}{45}\\t=\frac{16}{9}

So, it would take  \frac{16}{9}  hours

4 0
3 years ago
Tammy earns 45 dollars per week working part time at a book store. She makes one dollar more for each book that she sells. The a
seraphim [82]

 Answer

77

  Step-by-step explanation:

You add how much she earns a week with 32 because she earns $1 dollar per book.

3 0
3 years ago
Which of the follow tables do not show a linear function
valina [46]
C , i dont know if it’s right but it’s the only table with the same number on the bottom . and same number in general
6 0
3 years ago
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The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.
Marta_Voda [28]

Answer: 22.5 kg

Step-by-step explanation:

You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.

3 0
2 years ago
What is the slope of the equation: x = -2
Harrizon [31]

Answer:

undefined

Step-by-step explanation

it is a vertical line and has no defined slope

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