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lesya [120]
3 years ago
12

Karla and Isamar are disagreeing over which way the graph of the function ????(x) = |x + 3| is translated relative to

Mathematics
1 answer:
____ [38]3 years ago
5 0

Answer:

Isamar

Step-by-step explanation:

We are given that a function

g(x)=\mid {x+3}\mid is a translation of the graph

f(x)=\mid x \mid

Karla believes that the graph of g is '' to the right '' of the graph of f.

Isamar believes that the graph of g is ''to the left'' of the graph f.

When we draw a graph then we can see that

The coordinates of vertex of f  are (0,0).

The coordinates of vertex of g(x) are (-3,0).

When x shift 3 units towards left then we get g(x)

Therefore, Isamar is correct.

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Answer:

Step-by-step explanation:

To find the population variance, we first need the mean:

\bar{x}=\frac{4+6+8+9+9}{5}=\frac{36}{5}=7.2 so the mean is 7.2. To find the population variance (which is almost exactly the same as the sample variance except for a small difference in the denominators of the formula) we have to take each number minus the mean, and then square the difference. Add together all these squared numbers and then divide by the number of numbers. Like this:

(4-7.2)^2=10.24\\(6-7.2)^2=1.44\\(8-7.2)^2=.64\\(9-7.2)^2=3.24\\(9-7.2)^2=3.24

Add together those numbers and divide them by 5:

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Answer:

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Step-by-step explanation:

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x1, y1

2.1, 3.8

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x2,y2

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