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UkoKoshka [18]
2 years ago
14

Question is in the image

Mathematics
2 answers:
kati45 [8]2 years ago
6 0

Answer:

y=(-2/3)x^2

Step-by-step explanation:

Ira Lisetskai [31]2 years ago
4 0
<h3>Answer:  g(x) = (-2/3)x^2</h3>

=====================================================

Explanation:

The blue parent function has a positive coefficient of 1. The purple g(x) function is a reflection of f(x) over the x axis, so everything is now negative. The coefficient must be negative as well.

But the answer is simply not g(x) = -x^2 because plugging x = 3 does not lead to y = -6 as the point (3,-6) shows.

Let's say the coefficient is k for now. So we have y = kx^2

Plug in x = 3 and y = -6. Solve for k

y = kx^2

-6 = k(3)^2

-6 = k*9

9k = -6

k = -6/9

k = -2/3

So we update y = kx^2 into y = (-2/3)x^2

Meaning that g(x) = (-2/3)x^2 is the equation of the purple curve.

Plug x = 3 into g(x) to find that

g(x) = (-2/3)x^2

g(3) = (-2/3)(3)^2

g(3) = (-2/3)(9)

g(3) = -6

which is the output we want, so this confirms we have the correct coefficient.

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According to the question, to express the rational function for the vertical asymptote whose equation is x=8 and horizontal asymptote whose equation is at y=0.

As per the question, the function 'f(x)' is vertical at x=8. Therefore, the denominator be (x-8)

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To learn more about rational function from the given link:

<u>brainly.com/question/19044037</u>

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Answer:

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Step-by-step explanation:

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