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zaharov [31]
3 years ago
12

Which function does the graph represent

Mathematics
2 answers:
Doss [256]3 years ago
8 0

Answer:

C

Step-by-step explanation:

Obviously this a log function.  What you have to know about the parent graph of a log function is that it goes through the origin (0, 0).  Ours appears to go through -1, so it has moved 1 unit to the left, and our appears to have moved up 3 units.  The parent graph for the log function in standard form is

f(x) = log(x - h) + k.

where h indicates the side to side movement, and k represents the up and down movement.  In our standard form, we fit in -1 as follows: (x - (-1)), which of course is equivalent to (x + 1).  Because our function has moved up 3 units, our k is a positive 3.  So the translation of the parent graph to what we see is

g(x) = log(x + 1) + 3, choice C

Klio2033 [76]3 years ago
5 0

Answer:

i feel like it is C

Step-by-step explanation:

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Answer: k=3

Step-by-step explanation:

To solve for k, you want to isolate k.

\frac{2}{5} (5k+35)-8=12            [add both sides by 8]

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Write the equation of the ellipse with foci at (-2,2) and (4,2) and major axis of length 10 *
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Answer:

The answer to your question is   \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1          

Step-by-step explanation:

Data

Foci  (-2, 2)  (4, 2)

Major axis = 10

Process

1.- Plot the foci to determine if the ellipse is vertical or horizontal. See the picture below.

From the graph we conclude that it is a horizontal ellipse.

2.- Determine the foci axis (distance between the foci)

                  2c = 6

                    c = 6/2

                    c = 3

3.- Determine a

                  2a = 10

                    a = 10/2

                    a = 5

4.- Determine b using the Pythagorean theorem

                   a² = b² + c²

-Solve for b

                   b² = a² - c²

                   b² = 5² - 3²

                   b² = 25 - 9

                   b² = 16

                   b = 4

5.- Find the center (1, 2)  From the graph, it is in the middle of the foci

6.- Find the equation of the ellipse

                      \frac{(x - 1)^{2}}{5^{2}} + \frac{(y - 2)^{2}}{4^{2}} = 1

                       \frac{(x - 1)^{2}}{25} + \frac{(y - 2)^{2}}{16} = 1                

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