Question

Math 2 Homework Mod 2.1 (Day 2) Absolute Value Functions
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1. Describe transformations, graph, and state domain & range using any notation
a) f(x) = -2x+6
Describe transformations in words:
Vertex:
Stretch factor
Domain:
Range:

Answers

  1. The descriptions of the transformations are:
    • Vertex: (-6, 0)
    • Stretch factor: 2
    • Domain: set of all real numbers
    • Range: set of real numbers greater than or equal to 0

    How to describe transformations, graph, and state domain & range using any notation?

    The function is given as:
    f(x) = -2|x + 6|
    The above function is an absolute value function, and an absolute value function is represented as:
    f(x) = a|x – h| + k
    Where
    Vertex = (h, k)
    Scale factor = a
    So, we have:
    a = -2
    (h, k) = (-6, 0)
    There is no restriction to the input values.
    So, the domain is the set of all real numbers
    The y value in (h, k) = (-6, 0) is 0
    i.e.
    y = 0
    Because the factor is negative (-2), then the vertex is a minimum
    So, the range is all set of real numbers greater than or equal to 0
    Hence, the descriptions of the transformations are:
    • Vertex: (-6, 0)
    • Stretch factor: 2
    • Domain: set of all real numbers
    • Range: set of real numbers greater than or equal to 0
    Read more about absolute value function at
    #SPJ1

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