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Leto [7]
3 years ago
7

The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph re

presents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
5 0

<span>In mathematics, the </span>absolute value<span> <span>or modulus. | x. | of a real number x is the non-negative </span></span>value<span> of x without regard to its sign. So both shawn and brielle are correct since both function will have the same answer, because it will just cancel out the sign.</span>

nekit [7.7K]3 years ago
3 0

Answer:

The absolute value parent function is symmetric with respect to the y-axis.  

The graphs of f(x) = 2|–x| and f(x) = 2|x| are identical because the absolute value of negative x is a reflection across the y-axis.  

If you substitute the three given points into both functions, they produce true statements.

Step-by-step explanation:

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Aleks [24]

Using translation concepts, the transformations are given as follows:

a) The function is horizontally compressed by a factor of 3 and shifted down one unit.

b) The function is shifted right 3 units and vertically stretched by a factor of 2.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Item a:

The transformations are:

  • x -> 3x, hence the function is horizontally compressed by a factor of 3.
  • y -> y - 1, hence the function is shifted down one unit.

Item b:

The transformations are:

  • x -> x - 3, hence the function is shifted right 3 units.
  • y -> 2y, hence the function is vertically stretched by a factor of 2.

More can be learned about translation concepts at brainly.com/question/4521517

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iVinArrow [24]

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Answer:

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Step-by-step explanation:

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