Question

Graph f(x) = −3x + 4 and g(x) = 3x + 4. Which describes the transformation(s) from the graph of f(x) to the graph of g(x)?

a. Vertical Stretch
b. Horizontal Compression
c. Reflection across the x-axis
d. Translation to the left

Answer 1

The transformation from the graph of f(x) to the graph of g(x) is a vertical stretch.The graph of g(x) is a vertical stretch of the graph of f(x) because the positive slope of g(x) makes the line steeper compared to the line of f(x).

Step-by-step explanation:

The graph of f(x) = -3x + 4 is a straight line with a negative slope.

The graph of g(x) = 3x + 4 is also a straight line but with a positive slope.

Therefore, the transformation from the graph of f(x) to the graph of g(x) involves a change in slope from negative to positive.

This transformation can be described using option a. Vertical Stretch.

The graph of g(x) is a vertical stretch of the graph of f(x) because the positive slope of g(x) makes the line steeper compared to the line of f(x).

So, the correct answer is a. Vertical Stretch.