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Naya [18.7K]
3 years ago
8

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer:

  • 3^x
  • 9, 15, 33, 87, 249
  • (4, 87) for example

Step-by-step explanation:

a) First differences of the f(x) values in the table are ...

  19 -13 = 6, 37 -19 = 18, 91 -37 = 54, 253 -91 = 162

The second differences are not constant:

  18 -6 = 12, 54 -18 = 36, 162 -54 = 108

But, we notice that both the first and second differences have a common ratio. This is characteristic of an exponential function. The common ratio is 18/6 = 3, so the parent function is 3^x.

__

b) Translating a function down 4 units subtracts 4 from each y-value. The values of f(x) in the table would be ...

  9, 15, 33, 87, 249

__

c) The x-values of the function stay the same for a vertical translation, so the points in the table of the transformed function are ...

  (x, f(x)) = (1, 9), (2, 15), (3, 33), (4, 87), (5, 249)

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sammy [17]

Answer:

y-4=-10(x-1)

Step-by-step explanation:

Point-slope form is:

y-y_1=m(x-x_1)\\m-slope\\(x_1,y_1)-point

We are given the slope of -10 and the point (1,4). So:

m = -10

x1 = 1

y1= 4

Replace the appropriate values:

y-4=-10(x-1)

So, y-4=-10(x-1) should be the point-slope equation.

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borishaifa [10]
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Can you help me please
notsponge [240]

9514 1404 393

Answer:

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Step-by-step explanation:

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  1. reflection across the origin

  2. rotation 180° about the origin

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aliya0001 [1]
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