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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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Step-by-step explanation:

Density is mass/volume, so the number of books is the mass and the volume of the shelf is the volume for this equation.

7 0
2 years ago
Evaluate the expression a/b for a = 80 and b = 8.
tangare [24]

A / B

= 80 / 8

= 10

Therefore the answer is 10

7 0
2 years ago
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A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line? A y= 1/2x + 3/2 B y= 1/2x -3/
garik1379 [7]

Answer:

(B.) y= 1/2x -3/2

Step-by-step explanation:

(-3, -3) = (x_1,y_1)\\m = 1/2\\\\y-y_1=m(x-x_1)\\\\y -(-3)=\frac{1}{2} (x -(-3)\\\\y+3 = \frac{1}{2}(x+3)\\\\ y+3 = \frac{1}{2} x+\frac{3}{2}\\\\ y = \frac{1}{2} x +\frac{3}{2} -3\\\\y = \frac{1}{2} x - \frac{3}{2}

8 0
3 years ago
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The mean of four consecutive even numbers is 15.
mote1985 [20]
Find what the sum of the #s could be by multiplying 15*4 since there's 4 #s . 15*4=60 so the sum of the 4 #s is 60 

4 0
3 years ago
Product of two natural numbers p and q is 590 and their hcf is 59. how many set of values of p and q is possible
djverab [1.8K]

\text{Let the product of two natural numbers p and q is 590, and their HCF is 59}\\
\\
\text{we know that the product of LCM and HCF of any two numbers is equal}\\
\text{to the product of the numbers. that is}\\
\\
\text{HCF}\times \text{ LCM}=p\times q\\
\\
\Rightarrow 59 \times \text{LCM}=590\\
\\
\Rightarrow \text{LCM}=\frac{590}{59}\\
\\
\Rightarrow \text{LCM}=10\\
\\
\text{for any two natural numbers, their Least Common Multiple (LCM) is always}

\text{greater than their HCF.}\\
\\
\text{but here we can see that }LCM

Hence there is no such natural numbers exist.

7 0
3 years ago
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