Question

Math 2 Homework Mod 2.1 (Day 2) Absolute Value Functions
Per 5
Name
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:

1. thnahdat
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