The equation of g(x) is g(x) = (x - 3)^2 - 6
How to graph the functions?
The equations of the functions are given as:
g(x) = |x| + 1
g(x) = (x - 3)^2
g(x) = x^2 - 2
g(x) = 1/2|x|
g(x) = 4x
To graph the functions, we simply enter the equations in a graphing calculator
See attachment for the graph of the functions
The transformations
The transformations that do not change the shape of a graph are:
- Reflection
- Rotation
- Translation
They do not change the shape of a graph because they are rigid transformations
The transformation that changes the shape of a graph is:
It changes the shape of a graph because it is a are nonrigid transformations
The transformed function
The parent function is
f(x) = x^2
The vertex of g(x) is (3, -6)
A quadratic function is represented as:
y = a(x - h)^2 + k
Where
(h, k) represents the vertex
So, we have:
g(x) = (x - 3)^2 - 6
Hence, the equation of g(x) is g(x) = (x - 3)^2 - 6
Read more about transformation at:
https://brainly.com/question/1548871
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