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Nezavi [6.7K]
3 years ago
7

What type of transformation takes the graph of f(x) = |x| to the graph of g(x) = 2.5 |x| ?

Mathematics
1 answer:
Deffense [45]3 years ago
3 0

Answer:

Step-by-step explanation:

Function g(x) has the same graph shape as does f(x), but the graph of g(x) has been stretched vertically by a factor of 2.5.

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The table shows three values of x and their corresponding values of f (x) for a linear function f, such that f (r) = 0 and f (0)
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Using a linear function, it is found that the product rs is rs = 81.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

-0.25x + 4.5 = 0

x = 4.5/0.25

x = 18

r = 18.

f (0) = s, hence s = 4.5.

Then the value of the product is:

rs = 18 x 4.5 = 81.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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