Please help me with these 3 questions!!Thanks!!***BRAINLIEST**
1 answer:
Answer:
Step-by-step explanation:
Left Frame
f(x) is a horizontal line from x = 1 to x = 3. So the y values are the same in that interval.
when y = 1, x = 3
so f(3) = 1
The answer is III
Question Second from the right
The trick is to get the denominator so it is not a complex number. You do that by multiplying by the conjugate which is 8 - 2i. If you do that to the denominator, you must do it to the numerator.
Denominator: (8 + 2i)(8 - 2i) = 64 - 16i + 16i - 4i^2
Denominator: 64 + 4
Denominator: 68
Numerator: (3 - 5i)(8 - 2i)
Numerator: 24 - 6i - 40i + 10*i^2
Numerator: 24 - 46i - 10
Numerator: 14 - 46i
So in some form or other the answer is
Right Frame
Here, the slopes must be the same. So calculate the slope of the left line and make that equal to the slope of the right line's expression
<u>Left Line</u>
Left = (y2 - y1)/( x2 - x1) = (2 - 0)/(0 - - 5) = 2/5
<u>Right line</u>
Right = (y2 - y1) / (x2 - x1) = (0 - - 4) / (p - 0) = 4/p
Now Equate them (they are parallel and have the same slope)
2/5 = 4/p Cross multiply
2p = 5*4 Combine the right
2p = 20 Divide by 2
2p/2 = 20/2 Do the division
p = 10
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We have been given a graph of function g(x) which is a transformation of the function
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
