Use Equation A and describe the differences to show the change from f(x) = xtothe equation A. Equation A: f(x) = 3x - 4 (1 point)

Question

The slope increases by a factor of 3 and the graph of the function moves up the y-axis 4 units.
The slope decreases by a factor of 3 and the graph of the function moves down the y-axis 4 units.
The slope decreases by a factor of 3 and the graph of the function moves up the y-axis 4 units.
The slope increases by a factor of 3 and the graph of the function moves down the y-axis 4 units.

Answer 1

To compare \( f(x) = x \) with Equation A, \( f(x) = 3x - 4 \), we can analyze the transformations involved.

1. Slope: The equation \( f(x) = x \) has a slope of 1. In Equation A, the slope is 3. Therefore, the slope increases by a factor of 3.

2. Y-intercept: The function \( f(x) = x \) has a y-intercept of 0, while \( f(x) = 3x - 4 \) has a y-intercept of -4. This means the graph of the function moves down the y-axis by 4 units.

Putting these observations together:

• The slope increases by a factor of 3.
• The graph of the function moves down the y-axis 4 units.

Thus, the correct choice among the provided options is:

The slope increases by a factor of 3 and the graph of the function moves down the y-axis 4 units.