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I am Lyosha [343]
3 years ago
5

Wich graph is the result of the reflection f(x) =1/4(8)^x across the y axis and then across the x- axis

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0

Answer:

I assume that the function is:

f(x) = \frac{1}{4}*8^x

Now let's describe the general transformations that we need to use in this problem.

Reflection across the x-axis:

For a general function f(x), a reflection across the x-axis is written as:

g(x) = -f(x)

Reflection across the y-axis:

For a general function f(x), a reflection across the y-axis is written as:

g(x) = f(-x)

Then a reflection across the y-axis, and then a reflection across the x-axis is just:

g(x) = -(f(-x)) = -f(-x)

In this case, we have:

f(x) = \frac{1}{4}*8^x

then:

g(x) = -f(-x) =  -\frac{1}{4}*8^{-x}

Now we can graph this, to get the graph you can see below:

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Answer:

1.  16

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Step-by-step explanation:

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Canceling the x-1  in the top and bottom

lim x→1   (x+3)^2

Let x=1

lim x→1   (1+3)^2 = 4^2 = 16


2.  lim x→0 (x^2 -6x+8) /(x-2)          

First factor the expression

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lim x→0 (x-4)

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lim x→0   (0-4) = -4

Filling in the table

x     -.1      -.01       -.001     .001     .01     .1

f(x) -4.1  -4.01    -4.001   -3.999   -3.99  -3.9

4 0
3 years ago
Read 2 more answers
Please help I'll give 40 points
iris [78.8K]

1.

Use this rule: √ab = √a√b

√12√x^2

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3.

Multiply the numerator and denominator by the conjugate.

2√x/x

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3 years ago
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Do Pythagorean Theorem because a rectangle divided in diagonals form right triangles
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So with correct solving you should get 5.
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