The graph y = log (2x) + 3 is the translation of the graph y = log (x) as much as (3 + log (2)) ≈ 3.3 units up
Further explanation
Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.
There are many types of functions in mathematics such as:
- Linear Function → f(x) = ax + b
- Quadratic Function → f(x) = ax² + bx + c
- Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x
- Logarithmic function → f(x) = ln x
- Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...
If function f : x → y , then inverse function f⁻¹ : y → x
Let us tackle the problem.
The given functions can be modified as follows:
[tex]y = \log ( 2x ) + 3[/tex]
[tex]y = \log 2 + \log x + 3[/tex]
[tex]y = \log x + (3 + \log 2)[/tex]
From the function above it can be concluded that the graph y = log (2x) + 3 is the translation of the graph y = log (x) as much as (3 + log (2)) ≈ 3.3 units up
To be clearer, it can be seen in the attached image.
Learn more
- Inverse of Function : https://brainly.com/question/9289171
- Rate of Change : https://brainly.com/question/11919986
- Graph of Function : https://brainly.com/question/7829758
Answer details
Grade: Middle School
Subject: Mathematics
Chapter: Functions
Keywords: Equation , Line , Variable , Line , Gradient , Point , Quadratic , Intersection , Logarithmic
