If f(x) = 3x and g(x) = 3x + 1 + 6. Describe the transformations from f(x) to g(x).
A) left 1 and up 6
B) left 6 and up 1
C) right 6 and up 1
D) right 1 and down 6
I suspect you meant
g(x) = 3(x+1) + 6
if so, then A is your answer.
Describe the transformation from f to g.
f(x) = 3x -----> g(x) = 3x -7
To describe the transformations from f(x) = 3x to g(x) = 3x + 1 + 6:
1. The "+ 1" in g(x) shifts the graph one unit upward.
2. The "+ 6" in g(x) shifts the graph an additional 6 units upward.
Therefore, the correct answer is option A) left 1 and up 6.
To describe the transformations from f(x) to g(x), we need to observe the changes in the functions' equations.
Starting with f(x) = 3x, we can see that g(x) = 3x + 1 + 6.
Let's break down the transformations step by step:
1. Addition of 1: This means that the entire graph of f(x) is shifted vertically upward by 1 unit. The function is moved one unit higher along the y-axis.
2. Addition of 6: This means that the entire graph of f(x) is shifted vertically upward by an additional 6 units. The function is moved six units higher along the y-axis.
Therefore, the transformations from f(x) to g(x) can be described as moving the graph of f(x) six units up along the y-axis. So, the correct answer is A) left 1 and up 6.